Two rectangles are similar. Solving for x, you find that x = 3. Similar Questions As an example: 14/20 = x/100. The second rectangle is represented as PQRS. - sometimes. 2 cm a) Find the scale factor of their lengths. 1 cmb. Find step-by-step Algebra solutions and your answer to the following textbook question: Two rectangles are similar. 8/4 = 24/12. 7. <C = 60 degrees , so <F = 60 degrees. The first is 4 in wide and 15 in long. Look at these similar figures: B is an enlargement of A. What is the measure of x ? 5. Find the corresponding side of the larger polygon. You can also get 2 as the scale factor by finding the ratios: 12/6 = 2, 16/8 = 2, and 18/9 = 2. 8/4 = x/7. The smaller of two similar rectangles has height $2$ units; the larger rectangle has length $6$ units. Cross-multiply and solve for x: 4x = 9 * 15. What is the area of the smaller rectangle? If the ratio of the areas of two similar hexagons is 4:49, find the ratio of their apothems. Looking at the two rectangles, the corresponding sides are pf the May 1, 2020 · Two rectangles are similar if the lengths of their corresponding sides form a proportion. Jul 11, 2023 · The question is about finding the area of a smaller rectangle, given that two rectangles are similar and the scale factor between them is 6/7. Correct answer: 6. Yes. 5 m 49 m 10 m 1. The next section will inform you how to find the ratio of areas between any two similar figures. one has a length of 10 cm and a width of 8 cm, and the other has a width of 7 cm. Sizes and shapes are the backbones of geometry. So, if the ratio of the sides is 1:4, then the ratio of their perimeters is also 1:4. Thus, in order for two figures to be similar, corresponding angles must be congruent. Given angles. This result can be generalized: the ratio between the perimeters of two similar objects will be equal to the linear scale factor. The length of the first rectangle is 12 and the length of the second rectangle is 14. Are these two ratios equivalent? Use the picture to the right to answer questions 16-20. The width of the other rectangle is 5, but its length is unknown so we labeled it \(x\). If the perimeter of the larger rectangle is 52 inches, which expression can be used to determine the perimeter of the smaller rectangle? 9. If one rectangle has twice the area of the other, find the length of the smaller rectangle. Explanation: Solve for the height of the second rectangle. ) 6 times as large d. The longer side of the second rectangle is 8 cm greater than twice the shorter side. When the ratio of two corresponding sides (or other lengths) is expressed as \ (\frac {a} {b}\), in similar figures, the ratio of the areas is expressed as \ (\frac {a^2} {b^2}\) Jan 11, 2023 · Two geometric shapes are similar if they have the same shape but are different in size. This can be used to find the length or width of another rectangle provided the below-mentioned information: (i) two non-parallel sides of one rectangle (width & length). If two rectangles are similar, their corresponding sides are proportional. what is the area of the smaller rectangle? Enlargements create shapes that are similar. If the ratios are equal, then the rectangles are similar. 12/4=x/20 D. To find the scale factor of the lengths of the two similar rectangles, we can compare the lengths of corresponding sides. Now And two rectangles could be similar: But often will not be: Similar figures. Nov 21, 2023 · Consider, now, a new pair of similar rectangles depicted below. Jan 30, 2020 · The ratio of corresponding sides of similar rectangles is constant. The city wants to have a pair of similar triangles and a pair of similar rectangles. The ratio of the bases is 2:4 2: 4 which simplifies to 1:2 1: 2. Question: 4. Since, the rectangles given are similar rectangles. Study with Quizlet and memorize flashcards containing terms like Find the area. The following result holds for similar figures \(F_1\) and \(F_2\) with a corresponding side length ratio of \(R:\) The ratio of their perimeters and diagonals will be in the same ratio \(R\). Non-HD TVs have sides in a ratio of 4:3. Square T was translated by the rule (x + 2, y + 2) and then dilated from the origin by a scale factor of 3 to Find step-by-step Geometry solutions and your answer to the following textbook question: Two rectangles are similar. To find if two rectangles are similar, we need to find the ratio between the corresponding sides. 1 cm * 3 = x cm * 1. If the area of the larger rectangle is 294 i n 2, find the area of the smaller rectangle. 8cm 4. The geometric mean of two whole numbers is 0. Jul 18, 2012 · Similar Polygons and Scale Factors . Polygons are two-dimensional shapes composed of straight lines. We need to know 3. Two triangles are similar with a scale factor of 1 3. Study with Quizlet and memorize flashcards A RATIO is the quotient of two numbers or two quantities. This can best be seen by looking at a comparison between the two rectangles. 6cm 1. Apr 11, 2015 · What are similar rectangles? Two rectangles are said to be similar in this regards if the ratio of corresponding sides of both rectangles are the same. Triangles. To find the length of the second rectangle, we will use the concept of similar figures and set up a proportion between the corresponding sides of the two rectangles. The perimeters of two similar polygons are 20 and 28. 5. How long is the longer side in the larger rectangle? A rectangle with sides 3 times 6 is similar to a rectangle with a perimeter of 54. the larger rectangle has an area of 75 square centimeters. A = π • r². If the height of the first rectangle is 3 inches, and the height of the second rectangle is 9 inches, by what factor was the first rectangle changed? 3. 1 All, Some, None: Congruence and Similarity. In For similar triangles A B C and X Y Z shown below: X Y = k ( A B) Y Z = k ( B C) X Z = k ( A C) X Y A B = Y Z B C = X Z A C = k. The Relation between the Area of Similar Figures. 6 m 3. 4/12=x/8. Show that triangles ABX and CDX are similar. Which is the correct proportion for corresponding sides? the two rectangles are 2 by 6 and 8. The scale factor of enlargement from shape A to shape B is 2 2. Then multiply the numerator of the first fraction by the denominator of the second fraction: 1400 =. Area : If two similar figures have a scale factor of a : b, then the ratio of their areas is a2 : b2. Step 1: Check that the angles of the two polygons are congruent. What scale factor applied to the smaller rectangle will give the larger rectangle? Jan 11, 2021 · Polygons. What is the ratio of the area of the two hexagons? Name the postulate and two theorems you can use to prove triangle similarity. If we divide the corresponding lengths of the two rectangles, we get 3 ÷ 2 = 1. One is 5 cm by 12 cm. If you multiply a side from triangle ABC by 2, you get the length of the corresponding side of triangle DEF. a. The scale factor between the two sides is constant, and the two rectangles are, therefore, similar. Given data: The first rectangle is represented as ABCD. The second is 9 in. answered by Bot GPT 3. b. Read time: 5 minutes. Question 578559: Two rectangles are similar. b) In the diagram below, AB and CD are parallel lines. Scale Factor = 54 6 {\displaystyle {\text {Scale Factor}}= {\frac {54} {6}}} Oct 27, 2021 · To find the length of the second rectangle, we can use the similarity property of rectangles. x = (4. Also, the area of the larger rectangle is given as 308. A = ½ (b¹ + b²) • h. 8. Similar polygons have corresponding angles that are congruent, and corresponding sides that are proportional. The Greek word ‘Polygon’ consists of Poly meaning ‘many’ and gon meaning ‘angle. Learn more about Similar Rectangles here: Jun 20, 2017 · When two rectangles are similar, the ratio of their corresponding sides is the same as the ratio of their perimeters. The ratio of the areas of two similar squares is 16 81. The larger rectangle has an area of 75 square centimeters. then the ratio of length should be equal to ratio of width since both rectangles are similar. L1/L2 = W1/W2. If x is the length of the smaller rectangle and y is the length of the larger one, what is x/y ？ (A) 1/9 (B) 1/6 (C) 1/3 (D) 3 Apr 1, 2020 · Step-by-step explanation: The dimensions of the two rectangles have been given as; Rectangle A, L = 6 and W = 10. Corresponding sides must have the same ratio. Find its length and width. That means the ratio of L:W in rectangle A must be equal to that of rectangle B. The area of the larger rectangle is: A = base*height. The length of a side in the larger rectangle is n times the length of a corresponding in the smaller rectangle. If the ratio of the measures of a pair of corn. 1 cm / x cm = 3, where x is the unknown length. The length of the larger rectangle is 20 inches and the corresponding length of the smaller rectangle is 15 inches. In this case, we can determine the ratio by comparing the corresponding sides of the smaller and larger rectangles. 4. ft. Similar polygons are two polygons with the same shape, but not necessarily the same size. The ratio of side lengths can take on any value for arbitrary rectangles. 6 cmc. Solve by dividing both sides by 20. Which is the correct proportion for corresponding sides? (Small Rectangle) 4m and 12m (Large Rectangle) 8m and 24m. 2 m 04 2. This problem is taken from Tony Gardiner's 'Extension Mathematics Gamma' book. A similar tablecloth is five times longer $81. One has a length of 12 cm and a width of 9 cm, and the other has a width of 8 cm. Any two equilateral triangles b. if the first rectangle has length and width of L1 and W1, and the Apr 28, 2022 · Yes, a prism is similar to each other. Write an expression for the sum of the areas of the two rectangles. 12/4=x/8 C. They do not have to be similar. These two rectangles are similar shapes. Plug in known side lengths. The perimeter of the first rectangle is 36. The answer is 70. One of the most encountered shapes in geometry is polygons. 9cm. Ans: If 2 rectangles are similar, it means that their sides are proportional to each other. Two rectangles are similar. Observe that by similarity of right triangles, the ratio of these two segments (and hence the ratio of PR: QS P R: Q S) is the For example, if the ratio of the corresponding widths of two similar rectangles is {eq}2:3 {/eq}, the ratio of the areas of these rectangles would be {eq}2^{2}:3^{2} = 4:9 {/eq}. The second is 9 in wide. The ratio of the side lengths is consistent, and so the rectangles are similar. Knowing the properties of congruence and similarity allows you to use them in proofs. Perimeter = 2B + 2H. Feb 21, 2022 · rectangles. Rectangle B, L = 8 and W = 12. So, the above two rectangles are similar. If the height of the first rectangle is 3 inches, and the height of the second rectangle is 9 inches, how much larger is the second rectangle's area? a. find the length of the second rectangle. 150 sq. a) scale factor: b) x cm X = 8 cm 4 cm I+ |+ cm Two corresponding sides of two similar hexagons are 16 mm and 20 mm. ) 3 times as large c. 5 cm x Similarity (geometry) In Euclidean geometry, two objects are similar if they have the same shape, or if one has the same shape as the mirror image of the other. Dec 22, 2018 · The large rectangle has an area that is 4 times that of the smaller rectangle. Therefore, the ratio of the areas of the rectangles is 9:16. triangle proportionality theorem. In math, we say that two figures are similar when the shapes are the same with the only difference being the size. 6 by 9. The length and width of one rectangle are 8 and 5. I. in. Jan 26, 2024 · Download Article. g. 5 and 7. if a line parallel to one side of a triangle intersects the two other sides, then it divides the sides proportionally. Similar shapes need to have the same number of sides, the same angles and the ratio of the sides needs to be the same. 12 = 2 (4) + 2H. If a/b = c/d then ad=bc in your question a ratio of 3:4 could be exampled as: The two rectangles are similar. This means that the second triangle is 2 times as big. 8. Rigid transformations and dilations preserve angle measures. For the lengths: k = (length of smaller rectangle) / (length of larger rectangle) = 8 / 24 = 1/3 Oct 30, 2023 · The scale factor is found by comparing the lengths of corresponding sides of the two similar rectangles. c. (ii) one side (either width or length) of another rectangle or perimeter or area. Let's denote the ratio as "k", where "k" is the scaling factor. 7cm 4. Nov 3, 2020 · 03 November 2020. We can see the large rectangle is literally constructed from four smaller rectangles. By plugging in the given angle measurements to their corresponding angles, each triangle gets the measurements of 60 67 and 53. In fact, the two rectangles in this example are polygons and are, therefore, an example of similar polygons. . x = 33. Find the length of the second rectangle. Are the two rectangles similar? HD TVs have sides in a ratio of 16:9. If the sides of two rectangles are in the ratio \( 3 : 5 \), what is the ratio of their areas? Sep 24, 2019 · The scale factor used to get from the first rectangle to the second one can be found by comparing the dimensions of the two rectangles. Are they similar? Which pairs of rectangles are similar polygons? Select each correct answer. Any two squares c. Draw two two rectangles, one measuring 5cm x 3 cm and the other measuring 2. The length of a rectangle is 3 inches longer than it is wide. 12/8=x/8 B. The second is 9 inches wide. Explanation: To solve the given problem, we need to find the scale factor and the length x of the Feb 7, 2019 · Given two similar rectangles and with dimension of sides, we have to choose the correct proportion for corresponding sides. Draw two segments parallel to PR P R and QS Q S respectively, that go through some corner of the original rectangle. If the area of the smaller triangle is 22 f t 2, find the area of the larger triangle. So, we know that the. Round to the nearest tenth if necessary. 4. E. long. which is a correct proportion for corresponding sides? A. Aug 2, 2022 · we have given that the two rectangle which are similar to each other and we have to find the correct proportion for corresponding sides of rectangles. If the area is 180 in^2 , what are the dimensions of the rectangle? 3 days ago · if an angle of one triangle is congruent to an angle of a second triangle, and the lengths of the sides including these angles are proportional, then the triangles are similar. inches. - always. Two right triangles are similar if the legs of one are proportional to the legs of another. 1 : 2 = 1 : 2. Or like your dog Bailey and the neighborhood dog Buddy. We see similarity all around us. Introduction. Below are three sets of similar geometric figures. Question: The two rectangles are similar. A high school basketball court is a rectangle that is 84 feet by 50 feet. 8 cm Nov 2, 2023 · The ratio of the areas of two similar rectangles is equal to the square of the ratio of their corresponding side lengths. In this case, we can set up the proportion: 4/15 = 9/x. Question: Investigating Scale Changes in Two Dimensions. Similar Rectangles: Rectangles are similar if the length of the corresponding sides form a proportion. Now looking at the given rectangles, the only two that have similar ratio of corresponding sides is the second one that has the sides 4 & 8 and 3 & 6. Which is the correct proportion for corresponding sides? (1 point) 4m 8 m 8 12 m 24 m 12 24 24 о о o 8 | A + ដី +ន | |- ||- 8 24 24 8 5. If the base length of the second rectangle is 4, what is the height of the first rectangle? Possible Answers: 2. Jan 31, 2017 · Two rectangles are similar. wide. Congruent objects are also similar, but similar objects are not congruent. Scaling up, the ratio is. The volume of the larger one is 230 cm 3. We do not know the measurement of the unknown side. Answer and Explanation: 1 The two rectangles are similar. ) They have the same area. b) Work out the length x. - never. Find the length of the s Nov 6, 2023 · This means that the lengths of the two rectangles are multiplied by a factor of 3. where x is the length of the base of the larger rectangle. To find the length of x, you can set up a proportion using the scale factor. Find the scale factor of these similar figures: a rectangle with a height of 6 cm, and a rectangle with a height of 54 cm. The smaller of two similar rectangles has dimensions 4 and 6. Find angle 1 / 4. Cross-multiplying, you get 1. D) The lengths of the diagonals of the rectangles are equivalent. How to Find Ratio 3,181m^2. For the two rectangles to be similar, it means the ratio of their corresponding sides must be the same. Mar 9, 2021 · Find an answer to your question Two rectangles are similar. When two figures are similar, the square of the ratio of their corresponding side lengths equals the ratio of their area. The two rectangles are similar, with a scale factor of 2. Figure is not drawn to scale and more. 4*4. A rectangular napkin costs $3. (1 point) K B I 02 3 39 D M 118 29. √2/2. The reason one can use the mentioned equation to find the number of pairs of similar rectangles is that the number of pairs increases by each time a rectangle with the same ratio is added. round to the nearest tenth if necessary. x = 8. 5m 25m 100 m 4. In order to determine if both rectangles are similar, both corresponding sides must have a similar ratio. Top answer: The correct proportion for corresponding sides of the two rectangles is: a. If two figures are congruent, then they are similar. Jul 25, 2014 · If two rectangles are similar, then all the corresponding sides have been enlarged by the same scale factor. , & 500 sq. Find angle. 5. d. Find the value of x. Find the ratio of their perimeters. C) One of the rectangles has a larger area than the other rectangle. Using congruence and similarity. Perimeter : If two similar figures have a scale factor of a : b, then the ratio of their perimeters is a : b. Mar 27, 2022 · Here are two rectangles. Mar 8, 2016 · First, prove that ratio of lengths of sides KL: LM K L: L M is the same as ratio of PR: QS P R: Q S. 6. What is the ratio of their areas? Answer by richard1234(7193) (Show Source): Jun 18, 2023 · The scale factor between two similar rectangles is 2, meaning the dimensions of the second rectangle are twice those of the first. ) 9 times as large (HINT:: its not C nor B) Thanks!! 3 Two rectangles are similar. The two rectangles are similar. Which of the following must be true? A) Both rectangles are squares. But the width-to-height ratio is different, so they are not similar: These two shapes are both rhombuses, so each one has 4 equal sides. When two shapes are similar, their areas are proportional to the square of the ratio of their sides (in this case, the ratio is the scale factor). Apr 8, 2022 · The number of pairs of similar rectangles can be derived from the number of rectangles with the same ratio using \frac{N \times (N – 1)}{2}. 8/4)*7. 5 m 7m 0 5. The ratio of their corresponding sides is 1:4. Dec 5, 2022 · all rectangles are not similar rectangles. The first is 6 inches wide and 4 inches long. Are any two equilateral triangles always similar? 0 No O Yes b. Question 1138023: two rectangles are similar. Find the area of a rectangle with sides x + 8 and x - 7. A B C X Y Z. These numbers add up to 180 degrees, which is equivalent to what the measurements f a triangle are. The angles are all 90^o 90o. The first is 4 inches wide and 15 in long is 9 inches wide find the length of the second triangle Answer by ikleyn(50332) (Show Source): Similar Triangles Calculator - prove similar triangles, given sides and angles Given two angles in a triangle. 5; 9 days ago; 0; 0; You can ask a new question or answer this question. Feb 24, 2012 · Two rectangles are similar with a scale factor of 4 7. The ratio of their areas will be \( R^2 \). The areas of 2 similar rectangles are 80 sq. Therefore, first you will need to calculate the Two rectangles are similar. Now consider quadrilateral 𝐴𝐵𝐶𝐷. 8m 12 m 50 m -0 10 m 30 m This problem has been solved! Oct 23, 2023 · These two rectangles are mathematically similar. width and length will be equal. Any two rectangles d. 6 cmd. These two shapes are rectangles, so in each case all four angles are 90 degrees. The figure is not drawn to scale, Find the area. If they are similar, then they will form equivalent ratios. If one dimension of the first rectangle is 2 cm, the corresponding dimension (x) of the second rectangle is 4 cm. Advanced Math. Two similar polygons have areas of 50 and 100 sq. wide and 15 in. If an angle is dilated with the center of dilation at its vertex, the angle measure may change. Which equation shows the correct relationship between ΔABC and ΔA″B″C′? Line segment AB/ Line segment A"B" = 1/3. Jul 1, 2015 · Two rectangles are similar. The RATIO of 3:4 can also be written as: 3/4 or 3:4 A PROPORTION is a mathematical statement that two ratios are equal. (b) Determine the ratio of the perimeter of the larger rectangle to the perimeter of the smaller rectangle (c) Determine the ratio of the area of the larger rectangle to the area of the smaller rectangle. Advanced Math questions and answers. 1. The two triangles are similar. Which of the following are always similar? a. <C = <F. In the proportion a/b = c/d, the products ad and bc are called cross products. The perimeter of the second is 12. You can establish ratios between corresponding parts of two similar figures. 6/2= 24/8 Read more. Nov 28, 2020 · An NBA basketball court is a rectangle that is 94 feet by 50 feet. All circles are similar circles. Two rectangles are similar to the ratio of the lengths of their corresponding sides is 1:2, find the ratio of the perimeters of the two rectangles then find the ratio of the areas, explain your answers. Create a ratio comparing the two heights. (d) Compare the ratios of the linear For two similar rectangles, the ratio of two sides i. e. ) 1 In Geometry, two or more figures or objects are similar if they have the same shape but not necessarily the same size. The ratio of the corresponding adjacent sides may be different. Rectangles are not always similar to each other because they can have different dimensions, which would break the "same ratio" rule. The lengths have all doubled, but notice that the angles must Jan 11, 2023 · Only the squares, being congruent, are also similar to each other. 10. A shoe box for a size 4 child's shoe may be similar to, but smaller than, a shoe box for a man's size 14 shoe. Apr 28, 2022 · If two rectangles are similar, they have corresponding sides and corresponding angles. . 2cm 3. Dec 17, 2023 · In this case, we have two similar rectangles where the width of the first is 4 inches and the length is 15 inches. 5 3/5. Oct 22, 2016 · Two rectangles are similar. Find the ratio of the length of a pair of corresponding sides. Triangle A″B″C″ is formed by a reflection over x = −3 and dilation by a scale factor of 3 from the origin. Find the area of a similar triangle in which the corresponding side is 9 inches. they are sometimes similar because their angles are 90 degrees therefore their angles are proportianite. angles of two polygons is 3:4, then the ratio of the polygons' perimeter is 5:6. The ratio of the heights is also 1:2 1: 2. Figure \(\PageIndex{1}\) The two rectangles can be composed into one larger rectangle as shown. (a) Construct two rectangles that are similar. A similar rectangle has an area of 288 inches squared. The polygons are similar, but not necessarily drawn to scale. L1 = 21cm, W1 Two rectangles are similar. 7 177. 75 inches Jan 30, 2020 · the ratio of the lengths of corresponding sides of two similar rectangles is 3:5 . Jan 5, 2021 · The two rectangles are similar and the scale factor is 3/2. Trapezoids. Examples of shapes that are not similar. Determine whether the two rectangles below are similar. A = 8. A = ½ b • h. Two figures are similar iff there exists a sequence of rigid transformations and dilations that maps one figure to the other. One has a perimeter of 15 inches, the other a perimeter of 45. Two similar objects have corresponding sides 4cm and 7cm. verified. In the example below, the scale factor of triangle ABC to triangle DEF is 2. In this case, since the ratio of the side lengths is 3:4, the ratio of the areas would be (3/4)^2 = 9/16. Always similar. B) The interior angles of each rectangle add up to 360°. The first is 4 in. One side of the smaller polygon is 4. All side lengths are the same, and therefore must be proportional to the lengths of any other square. To find the ratio of their areas, we use the fact that the area of similar shapes is in the ratio of the squares of the sides. These polygons are not similar: Think about similar polygons as enlarging or shrinking the same shape. ’. One side of a triangle is 15 inches, and the area of the triangle is 90 sq. Choose whether each of the statements is true in all cases, in some cases, or in no cases. Prove the ratio of the perimeter of the larger rectangle to the perimeter of the smaller rectangle is a:1. Then, multiply the denominator of the first fraction by the numerator of the second, and you will get: 1400 = 20x. These two parallelograms are similar shapes. Jul 14, 2019 · the two rectangles are similar. For polygons, corresponding angles have the same measure, and corresponding sides are proportional. The lengths of their corresponding sides are proportional. 25. So, the corresponding sides are in same proportion in case of similar figures, So, Thus, option (2) is correct. length the length and width of first rectangle be L1 and W1 and length and width of second rectangle be L2 and W2. 5 ÷ 5 = 1. Verified answer. For the second rectangle, the width is 9 inches. When two shapes are the same in shape and size, All of these rectangles are different sizes, but two are proportionally the same and similar. 5 21. Dividing the length of the second rectangle by the length of the first rectangle gives us: So, to find the correct proportion for the two similar rectangles, calculate the ratio of the lengths of the sides and make sure it is the same for all pairs of corresponding sides. To calculate a missing side length, we: Write a proportional relationship using two pairs of corresponding sides. But the angles are different, so again they are not similar: Tests for similar shapes A rectangle with an area of 32 inches squared has one side measuring 4 inches. If Apr 28, 2022 · What will always be similar a two different squares b two different rectangles c two different rhombuses d two different parallelograms? a) two different squares. What is the volume of the smaller one? Give your answer to 1 decimal place. Any two rectangles in which one side is twice as long as the other a. This proportion is called the scale factor. To find the length in the smaller rectangle, we can multiply the length in the larger rectangle by the scale factor. No. The ratio of the lengths of corresponding sides of two similar rectangles is 3:5. x = (9 * 15) / 4. 3 cm. More precisely, one can be obtained from the other by uniformly scaling (enlarging or reducing), possibly with additional translation, rotation and reflection. What are the dimensions of the larger rectangle? Two rectangles are similar. Jan 16, 2023 · Here are two rectangles: [insert drawing rectangles 4 x 7 and 12 x 21 labelled in whatever measurement unit you wish, but leave off the "21" on the second rectangle] We are told the two rectangles are similar. If the height of the first rectangle is 3 inches, and the height of the second rectangle is 9 inches, by what factor was the first rectangle changed? a. If two figures are similar, then they are congruent. Find the dimensions of the larger rectangle if the ratio of the perimeters is 2 to 3. From the picture: 4. 4 cm. In this problem, the first rectangle has four angles that are each 90 degrees. hi qn xx wj js eo eg gy cl xi