the ratio of the perimeter of two similar squares is 5 to 4. If the area of the smaller square is 32 square units, what is the area of the larger square?

  1. 👍 0
  2. 👎 0
  3. 👁 204
  1. The ratio of the perimeters is equal to the ratio of their sides
    if the perimeters are in the ratio of 5:4, then the sides are in the ratio of 5:4

    the ratio of areas of similar shapes is proportional to the square of their sides, so

    x/32 = 5^2/4^2 = 25/16
    x = 32(25/16) = 50

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    7. Which of the following is a true statement? (1 point) It is possible for two rectangles to have the same area, but only if they also have the same perimeter. It is possible for two rectangles to have the same area without

  2. Math

    Two squares are drawn. The larger square has area of 400 square inches. The areas of the two squares have a ratio of 1 : 4. What is the side length s of the smaller square?

  3. Algebra

    The ratio of the areas of two squares is 32/63. After rationalizing the denominator, the ratio of their side lengths can be expressed in the simplified form (a*sqrt b)/c where a, b, and c are integers. What is the value of the sum

  4. Geometry

    Determine whether each statement is always sometimes or never true. If the answer is sometimes or never draw a counterexample. Two congruent triangels are similar : Two squares are similar : Two isosceles triangles are similar :

  1. Math

    Two triangles are similar, and the ratio of each pair of corresponding sides is 2 : 1. Which statement regarding the two triangles is not true? 1) Their areas have a ratio of 4 : 1. 2) Their altitudes have a ratio of 2 : 1. 3)

  2. Math

    Write the ratio of the number of squares to the number of circles as shown below. (Pretend I have four circles and five squares. The # will represent circles and the @ sign will represent squares.) #### @@@@@ (A)4 to 9 (B)5:4 (C)4

  3. geometry

    What is the ratio for the surface areas of the cones shown below, given that they are similar and that the ratio of their radii and altitudes is 4:3?

  4. Ratios of Similar Figures

    1. Write the following ratio in simplest form: 32 min : 36 min a. 8 : 9 b. 8 : 36 c. 32 :9 d. 128 : 144 2. In a sports equipment locker, there are 81 balls and 45 baseball mitts. Write the ratio of balls to baseball mitts in

  1. Math-geometry

    A regular polygon with all sides that are congruent and all angles that are congruent. Thus, the regular triangles are equilateral triangles, and the regular quadrilaterals are squares. All equilateral triangles are similar to one

  2. math

    Can someone help me with this question i've spent hours on it!!:( 6. Eight square tiles are laid out on a table so that they make a solid pattern. Each tile must touch at least one other tile along an entire edge. The squares all

  3. grade7 math

    36unit squares are joined to form a rectangle with lest perimeter what is the perimeter of rectangle?

  4. algebra

    the scale factor of two similar hexagons is 3:4. the perimeter of the smaller hexagon is 60 centimeters. what is the perimeter of the larger hexagon?

You can view more similar questions or ask a new question.