Q:The ratio of the perimeters of two square is 5 to 4. If the area of the smaller square is 36 units, what is the area of the larger square?

A: 56.25

My teacher told us the answer, 56.25, so that we could correct it. But I don't understand how she got the answer at all, so can someone please help me solve the question so that I could understand how to do it.

posted by dingbat
2. a1 = the side length side of the smaller square

a2 = the side length side of the larger square

The area of the smaller square is 36

A1 = a1 ^ 2 = 36

a1 ^ 2 = 36

a1 = sqrt ( 36 ) = 6

Perimeter of square = 4 side length

In this case :

4 a2 / 4 a1 = 5 / 4

a2 / a1 = 5 / 4

a2 / 6 = 5 / 4 Multiply both sideas by 6

a2 = 5 * 6 / 4 = 30 / 4 = 15 / 2 = 7.5

The area of the larger square :

A2 = a2 ^ 2 = 7.5 ^ 2 = 56.25

posted by Bosnian
3. thank you :D

posted by dingbat
4. a1 = the length side of the smaller square

a2 = the length side of the larger square

posted by Bosnian

First Name

## Similar Questions

1. ### Math

The ratio of the perimeters 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?
2. ### Math

A square with a side length of 2s has a smaller square inscribed. The vertices of the smaller square are at the midpoints of the sides of the larger square. What is the ratio of the larger square to the area of the smaller square?
3. ### geometry

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?
4. ### Geometry

The area of each square is twice the area of the next smaller square drawn in it. if the area of the smallest square is 3 square cms. what is the area of the largest square
7. ### Math problem solving investigation: guess and chec

The area of each square is twice the area of the next smaller square drawn in it. If the area of the smallest square is 3 square centimeters, what is the area of the largest square
8. ### Math

Two picture frames are similar. The ratio of the perimeters of the two pieces is 3:5. If the area of the smaller frame is 108 square inches. what is the area of the larger frame?
9. ### math

The ratio of perimeters of two squares is 1:2. The perimeter of the larger square is 16cm. What is the length of one side of the smaller square?
10. ### math

Area A sequence of smaller squares is formed by connecting the midpoints of the sides of a larger square. (a) If the area of the largest square is 1 square unit, determine the first five terms of a sequence that describes the area

More Similar Questions