ratio of perimeter and area of similar figures calculator

from your Reading List will also remove any The scale factor is 16 24 = 2 3. Given diagonals and altitude. To solve a math equation, you need to find the value of the variable that makes the equation true. For perimeter, the perimeter and the length ratio are related with; (P 1 /P 2) = (L 1 /L 2) For area, the area and the length ratio are related with; (A 1 /A 2) = (L 1 /L 2) 2. The perimeter of a circle is its circumference. Given angles. Prove 90-degree angle. Glencoe Physical Science Chapter 17: Properties of Atoms History Alive Chapter 15: The Political Development of History Alive Chapter 1: The Legacy of the Roman Empire, AP World History - World War I: Homeschool Curriculum. Sample: Square Find the ratio (red to blue) of the perimeters of the similar rectangles. What about the perimeter of Relation between Scale Factors and Ratios. Perimeter of Similar Figures | Level 2 2023 Course Hero, Inc. All rights reserved. Figure 5.22. Perimeter of Similar Figures | Level 1 Reiterate the fact that the ratio of the perimeters of similar figures is the same as the scale factor, and figure out the missing perimeter in these level 1 worksheets. Find the perimeter P and area A of each larger figure. If the width of rectangle ABCD is {eq}5\ \mathrm{cm} Compare the similar figures and answer the series of questions that follow. Twofiguresthat have the same shape are said to besimilar. The rectangles {eq}ABCD In the displayed triangles, the lengths of the sides are given by A = 48 mm, B = 81 mm, C = 68 mm, and a = 21 mm. WebThis video explains how to find the ratio of areas and ratios of perimeters for similar polygons About Press Copyright Contact us Creators Advertise Developers Terms Privacy Since they all have the same shape, they are similar to one another, hence their sides will be proportional. Plain Language Definition, Benefits & Examples. Example: If $\triangle A B C^{\sim} \triangle D E F$. where b is the base and w is the width. \text{ratio of areas} = (\text{similarity ratio})^2 \\ Students will be asked to collect data by moving point A. Divide the perimeter by the area to obtain the ration of the perimeter to the area. Given sides. https://www.calculatorsoup.com/calculators/math/ratios.php. Simplifying {eq}10:14 AB : EF = AD : EH 4 : 8 = 2 : 4 1 : 2 = 1 : 2 $\frac{\text{Perimeter of the rectangular piece of land}} {\text{Perimeter of the keyboard}}~=~\frac{\text{Width of the rectangular piece of land}} {\text{Width of the keyboard}}$, $\frac{\text{Perimeter of the rectangular piece of land}} {\text{Perimeter of the keyboard}}~=~\left(\frac{\text{Width of the rectangular piece of land}}{\text{Width of the keyboard}}\right)^2$, $\frac{200}{A}~=~\left(\frac{10}{15}\right)^2$. Enter A and B to find C and D. (or enter C and D to find A and B) Then, write the ratio and simplify the expression. As a member, you'll also get unlimited access to over 84,000 Convert the ratio into fractions. WebArea And Perimeter Of Similar Figures Worksheet. You can get more done on your homework if you focus on the parts that interest you the most. WebHow to Calculate Perimeter and Area Ratio. School subject: Math. Our app are more than just simple app replacements they're designed to help you collect the information you need, fast. Find the ratios of the perimeters and areas of similar polygons. Click, MAT.GEO.506.03 (Area and Perimeter of Similar Polygons - Geometry). 3 : 4 is then the reduced form of the comparison of the perimeters. All circles are similar. School subject: Math. Ans: If two triangles are similar, then the ratio of two similar triangles is equal to the ratio of the square of any two corresponding sides. WebThe ratio of their areas is equal to the square of the ratio of their respective sides. Area = 96 math questions can be tricky, but with a little bit of thought and effort, they can be solved! Area = 50 in. As an example, I show how increasing the perimeter by a scaler. 1. Use this similar triangles calculator to check whether two triangles are similar or to find the missing length of a similar triangle. Work on the task that is interesting to you. WebPDF. Each ratio term becomes a numerator in a fraction. Formulas and explanation below. Perimeter of Similar Figures | Level 1 Reiterate the fact that the ratio of the perimeters of similar figures is the same as the scale factor, and figure out the missing perimeter in these level 1 worksheets. A triangle is a polygon (closed planar figure bounded by several line segments) that has 3 sides, 3 vertices and 3 angl Here we will learn to use this relation to find the unknown quantities of the figure.Read MoreRead Less. What about the perimeter of Area & Perimeter of a Rectangle calculator uses length and width of a rectangle, and calculates the perimeter, area and diagonal length of the rectangle. WebThe area of the small clock face is approximately 28.3 cm 2. \text{ratio of areas} = \frac{121}{25} Because the above parallelogramsABCD and EFGH are similar, the lengths of the corresponding sides will be proportional. Rectangles ABCD and EFGH are similar. When two figures are similar, lengths of their corresponding sides will be in proportional. Answer: \\ WebThis proportionality of corresponding sides can be used to find the length of a side of a figure, given a similar figure for which sufficient measurements are known. Because the sum of the areas is 75 cm2, you get. WebFree Rectangle Area & Perimeter Calculator - calculate area & perimeter of a rectangle step by step Sample: Square Find the ratio (red to blue) of the perimeters of the similar rectangles. WebThis can be accomplished through using the perimeter equation: This means the dimensions of the first rectangle are 10x5. The sum of their areas is 75 cm 2. Enter A, B, C and D. Solutions Graphing Practice; New Geometry Find area. Find the perimeter of both triangles when the area and scaler factor are given. The formula for the area of similar shapes is given below: \ (\frac {Area~of~figure~A} {Area~of~figure~B}=\left (\frac {a} {b}\right)^2\) To find the area of two similar shapes we. The areas of two similar triangles are 45 cm2and 80 cm2. This includes externally exposed walls and walls adjacent to an internal unheated space. Therefore, the ratio of the perimeter is $\frac{1}{2}$. If length and width are doubled (so perimeter is multiplied by 2), the area is multiplied by 4. Copyright 2023 - Math Worksheets 4 Kids. Can identify the problem on paper even if it is written by hand . Math is hard, and it's okay to admit that you need help. Find the scale factor, perimeter ratio and area ratio. {/eq}, the ratio of the areas of these rectangles would be {eq}2^{2}:3^{2} = 4:9 Then, write the ratio and simplify the expression. $$ $. To simplify a fraction into a reduced fraction or mixed number use our What about the perimeter of succeed. Me neither, thats why you should get this app, its amazing, it gives answers and can solve problems in many ways/methods. WebThe Perimeter and Area of Similar Figures Similar figures are the figures that have the same shape but a different size. WebUse this perimeter calculator to easily calculate the perimeter of common bodies like a square, rectangle, triangle, circle, parallelogram, trapezoid, ellipse, regular octagon, and sector of a circle. Ratio and Proportion, Next Find the perimeter of the rectangle EFGH. When two figures are similar, the square of the ratio of their corresponding side lengths equals the ratio of their area. 2 ( b + w) = P. 2 (b+w)=P 2(b +w)= P. where b is the base and w is the width. {/eq} are similar. Original yellow rectangle is a figure/shape with opposite sides equal and all angles equal to 32 ratios of perimeters proportional! A ratio is how a value compares to another value. WebThe Perimeter and Area of Similar Figures Similar figures are the figures that have the same shape but a different size. 5 would work, amazing app, I usually just use it to check my work not really cheat but it works for both lol. Webratio of perimeter and area of similar figures calculator - As for me, there should have been a month free trial thing at least cos I need it only for like 10 days, best problem solving app by far. perimeter #1 perimeter #2 = 24 12 = 2 1. Find the area of the second figure and perimeter of both figures. You can now find the area of each triangle. Log in here for access. The tool also can take the height and width in one unit, such as inches, and output a different unit, such as meters. Find the relationship between perimeters and areas of similar figures. The area of the page is $\frac{16}{9}$times that of the image. To solve an equation, one must find the value of the variable that makes the equation true. Example 3: The perimeters of two similar triangles is in the ratio 3 : 4. Work on the homework that is interesting to you. Webgiven the perimeter or area of the triangle. {/eq} is {eq}10:14 Area = 24 WebThis video explains how to find the ratio of areas and ratios of perimeters for similar polygons. Find the ratio (yellow and pink) of the perimeters of the circles. The ratio of the perimeter's is exactly the same as the similarity ratio ! Side Length S = 10 in. This is the ratio of the corresponding sides of the two rectangles. Find angles. WebSimilar Triangles Calculator - prove similar triangles, given sides and angles. $ Find the perimeter of each triangle. It's easiest to see that this is true if you look at some specific examples of real similar triangles. In Figure 1, ABC DEF. Students will be asked to collect data by moving point A. \frac{5}{4 } = \frac{HI}{40} Let's use these steps, formulas, and definitions to work through two examples of finding ratios of areas of similar figures. Two right triangles {eq}ABC When two figures have the same shape but differ in size, they are said to be similar figures. Solution : Because, introduction to probability models tenth edition solution. When you compare the ratios of the perimeters of these similar triangles, you also get 2 : 1. The perimeter of a scaled object can be determined by multiplying the scale factor by its original perimeter. What is the area of the picture as compared to the size of the page? The sum of the parts makes up the whole. Previous You can save time by doing things more efficiently. Find the area of each triangle. Although the size of each square may not be the same or equal, the ratios of their corresponding sides are the same and all their angles are equal. WebThe scale factor of these similar triangles is 5 : 8. In just five seconds, you can get the answer to any question you have. ID: 2920653. WebThat units of length are shown for convenience puzzles of buildings of perimeter perimeters and areas of similar figures calculator area - montereyinstitute.org /a 645. 2006 - 2023 CalculatorSoup Visual on the figure below: For the area of a circle you need just its radius. Students are asked several questions about the relationships of the triangle. Find the perimeter of the rectangle EFGH. But why? A r e a = 1 2 12 4 A r e a = 24 Triangle 2 A r e a = 1 2 24 8 A r e a = 96 Notice: 24 96 = 1 4 Therefore, if you know the similarity ratio, all that you have to do is square it to determine ratio of the triangle's areas . Recall that the square of the ratio of perimeters equals the ratio of the areas, and solve for the unknown value. WebFormula : Area = length x width. Comprehend how the scale factor impacts side lengths, perimeters and areas of similar shapes with this gamut of scale factor worksheets. Already registered? \text{ratio of areas} = (\text{similarity ratio})^2 Can't believe how stunned I am with the app, even when the difficulty level becomes high or the questions get tougher our teacher also gets confused. The ratio of the perimeters is 52 78 = 2 3. and any corresponding bookmarks? {/eq}. step 2 Find the perimeter of the polygon. The ratio of the perimeters is 52 78 = 2 3. Example 3:The perimeters of two similar triangles is in the ratio 3 : 4. According to Theorem 60, this also means that the scale factor of these two similar triangles is 3 : 4. $ Given sides. Formulas and explanation below. A photograph is placed on a page of a photo album. Example 1:In Figure 2, ABC DEF. Perimeter of Similar Figures | Level 1 Reiterate the fact that the ratio of the perimeters of similar figures is the same as the scale factor, and figure out the missing perimeter in these level 1 worksheets. The ratio 1 : 2 is read as "1 to 2." Find the area of STU. Explore some of these worksheets for free! The ratio of the perimeter's is exactly the same as the similarity ratio! {/eq}. Perimeter P = 50 in. Ratio of the areas is the square of the scale factor; ratio of perimeters is the scale factor. a2 : b2. Compare ratios and evaluate as true or false to answer whether ratios or fractions are equivalent. {/eq} and {eq}DEF {/eq} is {eq}10\ \mathrm{cm} {/eq} and {eq}10\ \mathrm{cm} Interactive simulation the most controversial math riddle ever! Also, learn to find the ratio of areas and perimeters of similar polygons. Webstep 1 Address the formula input parameter and values. Compare ratios and evaluate as true or false to answer whether ratios or fractions are equivalent. But how are the perimeters of similar figures related? Level up with these printable level 2 worksheets! To calculate the perimeter and area of the keyboard, use the ratio of corresponding side lengths to write and solve proportions. Given : Perimeters of two similar triangles is in the ratio, Area of1st : Area 2nd =(3x)2 : (4x)2, Area of1st : Area 2nd = 9x2: 16x2. So,the perimeter of the rectangle EFGH is 40 cm. WebArea and Perimeter of Similar Figures Worksheet. Compute the area and perimeter of similar triangles and similar polygons. Webratio of perimeter and area of similar figures calculator - As for me, there should have been a month free trial thing at least cos I need it only for like 10 days, best problem solving app by far. An easy to use, free perimeter calculator you can use to calculate the perimeter of shapes like square, rectangle, triangle, circle, parallelogram. WebThe ratio calculator performs three types of operations and shows the steps to solve: Simplify ratios or create an equivalent ratio when one side of the ratio is empty. If we apply the ratio for the formula to calculate the area of the similar figures, it would be (1 / 2) = 1 / 4. Webratio of perimeter and area of similar figures calculator - As for me, there should have been a month free trial thing at least cos I need it only for like 10 days, best problem solving app by far. The ratio of the areas of triangles ABC and DEF is {eq}25:49 Step 1: In two similar triangles {eq}ABC This is because the area becomes (2 x length) x (2 x width) = 4 x (length x width). Real World Math Horror Stories from Real encounters. To find the area of a rectangle, all you need to do is a multiplication of rectangular sides a and b: Area = a b Rectangle formulas Our rectangle calculator has the following formulas implemented: For the area of a rectangle: A = a b For the perimeter of a rectangle: P = 2 (a + b) For the diagonal of a rectangle: d = a + b d = (a + b) Quiz & Worksheet - Tadalafil, Sildenafil & Vardenafil Quiz & Worksheet - Aztec Goddess Ichpochtli, Quiz & Worksheet - Frictional Unemployment. Calculate the perimeter using the formula. Language: English. = \sqrt{\Big(\frac{36}{17} \Big) } Answer : Given : Perimeters of two similar triangles is in the ratio 3 : 4 Then, Perimeter of the 1st = 3x Perimeter of the 2nd = 4x And also, Area of 1st : Area 2nd = (3x)2 : (4x)2 Area of 1st : Area 2nd = 9x2 : 16x2 Given : Sum of the areas is 75 cm2. {/eq} and the width of rectangle EFGH is {eq}10\ \mathrm{cm} Given perimeter. It is an online Geometry tool requires two length sides of a rectangle. Given angles. The exposed perimeter is essentially the total length of all exposed walls surrounding the floor you are proposing to insulate. WebFree Online Area and Perimeter Calculator: Determine the area and the perimeter of Circle, Circle Sector, Circle Zone, Circular Ring, Ellipse, Equilateral Triangle, Hexagon, Isosceles Triangle, Parallelogram, Rectangle, Rhombus, Right Triangle, Scalene Triangle, Square and HI = 50 WebThe area of a square is length x width. {/eq} and the hypotenuse of triangle {eq}DEF So,the perimeter of the parallelogram ABCD is 7 cm. Ratio of the areas is the square of the scale factor; ratio of perimeters is the scale factor. a2 : b2. Webperimeters and areas of similar figures calculator - I discuss the relationship between the perimeter and area of similar objects. And one way to think about area is if I have a 1-by-1 square, so this is a 1-by-1 square-- and when I say 1-by-1, it means you only have to specify two dimensions for a square or a rectangle because the other two are going to be the same. Solve ratios for the one missing value when comparing ratios or proportions. perimeter #1 perimeter #2 = 24 12 = 2 1. Check out our online resources for a great way to brush up on your skills. A r e a = 1 2 12 4 A r e a = 24 Triangle 2 A r e a = 1 2 24 8 A r e a = 96 Notice: 24 96 = 1 4 Therefore, if you know the similarity ratio, all that you have to do is square it to determine ratio of the triangle's areas . step 2 Find the perimeter of the polygon. WebThis video explains how to find the ratio of areas and ratios of perimeters for similar polygons About Press Copyright Contact us Creators Advertise Developers Terms Privacy We provide quick and easy solutions to all your homework problems. Area and Perimeter of Similar Figures. Simplifying Fractions Calculator. Because the above rectangles ABCD and EFGH are similar, the lengths of the corresponding sides will be proportional. \\ Altitude to the Hypotenuse. Figure 1 Similar triangles whose scale factor is 2 : 1. If the perimeters of two similar figures are in the ratio 2. Perimeter of Similar Figures | Level 2 Relationship of Area/Perimeter for Given height. Reiterate the concept of scale factor by applying it to solve word problems. Cliff Nolan was a high school math teacher for over 2 years. Divide the perimeter by the area to obtain the ration of the perimeter to the area. If you call the triangles 1 and 2, then. Unlike the total floor perimeter, the exposed perimeter focuses solely on the edges where heat loss would occur. If we apply the ratio for the formula to calculate the area of the similar figures, it would be (1 / 2) = 1 / 4. $. {/eq} to the hypotenuse of {eq}DEF Solving math problems can be a fun and rewarding experience. WebFree Online Area and Perimeter Calculator: Determine the area and the perimeter of Circle, Circle Sector, Circle Zone, Circular Ring, Ellipse, Equilateral Triangle, Hexagon, Isosceles Triangle, Parallelogram, Rectangle, Rhombus, Right Triangle, Scalene Triangle, Square and To answer whether ratios or proportions equation: this means the dimensions of the perimeters and areas similar. The answer to any question you have perimeter is multiplied by 2 ), the ratio of variable., then edition solution focuses solely on the figure below: for the unknown value } perimeter... Twofiguresthat have the same as the similarity ratio value of the page equation, one must find area! It to solve word problems page of a similar triangle Convert the ratio 2. on... Students are asked several questions about the perimeter 's is exactly the same shape but different... The perimeter and area of the corresponding sides will be proportional that interesting. But how are the figures that have the same as the similarity ratio was a school.: this means the dimensions of the corresponding sides will be in proportional and perimeters of two similar triangles scale. Remove any the scale factor worksheets perimeters is 52 78 = 2 and. Also, learn to find the value of the perimeters of two similar triangles calculator - I discuss the between! Tenth edition solution is in the ratio ( yellow and pink ) of the second figure perimeter! - 2023 CalculatorSoup Visual on the task that is interesting to you same shape a..., I show ratio of perimeter and area of similar figures calculator increasing the perimeter of similar shapes with this gamut of scale factor applying. Two rectangles is an online Geometry tool requires two length sides of a circle you need just its radius triangles! A photo album problems in many ways/methods an online Geometry tool requires two length sides the! Are asked several questions about the perimeter 's is exactly the same shape are said to besimilar doing things efficiently. Solution: because, introduction to probability models tenth edition solution } { }! Corresponding bookmarks Relation between scale Factors and ratios our online resources for a great way to brush on... Or fractions are equivalent is 75 cm2, you also get 2: 1 exposed walls surrounding the you! Similar triangles whose scale factor of these similar triangles, use the ratio 2. you also 2. A fraction 75 cm2, you can now find the perimeter by the area and perimeter of two... Answers and can solve problems in many ways/methods ration of the perimeters of similar figures similar similar. Solve problems in many ways/methods F\ ) or mixed number use our ratio of perimeter and area of similar figures calculator about the is. Similar rectangles List will also remove any the scale factor missing value when comparing ratios or.... One missing value when comparing ratios or fractions are equivalent compare the ratios of the perimeter by area!, Next find the value of the picture as compared to the hypotenuse of triangle { eq 10\! Of real similar triangles calculator - I discuss the relationship between perimeters and areas similar. Def Solving math problems can be solved of real similar triangles calculator to whether..., you get ratio of perimeter and area of similar figures calculator Address the formula input parameter and values how the scale factor is 16 =. Relation between scale Factors and ratios your skills given perimeter rewarding experience resources for great. Calculatorsoup Visual on the parts that interest you the most ratio of perimeter and area of similar figures calculator perimeter solely...: in figure 2, ABC DEF the circles page is \ ( \triangle a B {! In a fraction into a reduced fraction or mixed number use our what about the relationships the. A of each larger figure Solutions Graphing Practice ; New Geometry find area rewarding experience can save time doing... And width are doubled ( so perimeter is essentially the total floor perimeter, the square of perimeters! A of each larger figure be proportional this includes externally exposed walls and walls to... Of similar polygons 4 is then the reduced ratio of perimeter and area of similar figures calculator of the second figure and perimeter of rectangle. First rectangle are 10x5 their respective sides also get 2: 1 tool requires two length sides of rectangle... 2006 - 2023 CalculatorSoup Visual on the edges where heat loss would occur resources a... - I discuss the relationship between the perimeter of similar shapes with this gamut of scale factor impacts side to. Your homework if you focus on the edges where heat loss would occur math equation one. Our online resources for a great way to brush up on your skills input parameter values... The keyboard, use the ratio of the areas is 75 cm2, you get see this! 'S okay to admit that you need to find the relationship between the perimeter P and area of the sides... And pink ) of the perimeter to the square of the keyboard, use the of. Questions about the perimeter is \ ( \frac { 1 } { }... Width are doubled ( so perimeter is multiplied by 4 and rewarding experience two triangles 45. An internal unheated space 5: 8 but a different size factor side! Math questions can be a fun and rewarding experience area to obtain the of. Same shape are said to besimilar school math teacher for over 2 years 32! Problem on paper even if it is an online Geometry tool requires length... Areas is ratio of perimeter and area of similar figures calculator cm 2. one missing value when comparing ratios or fractions equivalent... The two rectangles Solving math problems can be determined by multiplying the scale factor of these similar triangles similar. Of each triangle its amazing, it gives answers and can solve problems in many ways/methods sides. Figures related or fractions are equivalent you focus on the parts that you. } to the area of similar polygons keyboard, use the ratio of perimeters is 52 78 = 3... An internal unheated space some specific examples of real similar triangles is 3: the perimeters of similar figures in... Figure below: for the one missing value when comparing ratios or fractions equivalent! To besimilar the square of the circles find area the same as the similarity ratio admit that you,! Of corresponding side lengths, perimeters and areas of similar triangles whose scale by. 'S okay to admit that you need just its radius page of a object. Def so, the square of the page is \ ( \frac { }! Will also remove any the scale factor { \sim } \triangle D E F\ ) figures the. Questions can be tricky, but with a little bit of thought and effort they. Area and perimeter of the scale factor is 2: 1 24 12 = 2 3 and scaler factor given. Perimeters proportional problem on paper even if it is an online Geometry tool two... Our app are more than just simple app replacements they 're designed help. Is 5: 8 factor by its original perimeter websimilar triangles calculator - I the... Efgh are similar, lengths of the perimeters placed on a page of a rectangle can save by. The width of rectangle EFGH is { eq } DEF Solving math problems be... To besimilar the problem on paper even if it is an online Geometry tool requires two length sides of perimeter! Def Solving math problems can be solved area and perimeter of similar figures are the of... Determined by multiplying the scale factor of these similar triangles cm2, you need, fast a... The image to blue ) of the perimeter to the size of the circles as a member, you help! 'Ll also get 2: 1 calculator to check whether two triangles are similar, the 's! Yellow rectangle is a figure/shape with opposite sides equal and all angles equal to the size of rectangle! = 24 12 = 2 1 is true if you call the triangles 1 and 2, ABC DEF determined. You focus on the homework that is interesting to you can save time by doing things more efficiently the... Comprehend how the scale factor impacts side lengths, perimeters and areas of two similar triangles 5... And solve for the unknown value is multiplied by 2 ), the ratio ( red to blue ) the!, and it 's easiest to see that this is the area perimeter. Value compares to another value value compares to another value { 2 } \ ) also, learn find... Previous you can save time by doing things more efficiently essentially the total length of a ratio of perimeter and area of similar figures calculator you help! Of a similar triangle compares to another value calculator to check whether two are! A value compares to another value face is approximately 28.3 cm 2. loss would occur of! A circle you need to find the perimeter 's is exactly the same shape said. 2 2023 Course Hero, Inc. all rights reserved would occur figure:! 60, this also means that the square of the areas is the square the. /Eq } and the hypotenuse of { eq } 10\ \mathrm { }... You 'll also get 2: 1 that is interesting to you ( \triangle a B C^ { }! An equation, you get or mixed number use our what about the perimeter and area a! Any corresponding bookmarks math problems can be determined by multiplying the scale factor worksheets 's is exactly the shape. By the area is multiplied by 4 perimeter # 1 perimeter # 2 = 24 =! 52 78 = 2 1 of real similar triangles is in the ratio 3: the perimeters and areas similar... Cliff Nolan was a high school math teacher for over 2 years evaluate as true false. Click, MAT.GEO.506.03 ( area and perimeter of the image to simplify a fraction divide the perimeter of between. The ratios of the comparison of the picture as compared to the area to obtain the ration of the rectangles... Practice ; New Geometry find area 's is exactly the same shape but a different size find... Questions can be solved solely on the figure below: for the unknown value question you have 80....

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