Posted by **dingbat** on Sunday, April 7, 2013 at 4:15pm.

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.

- 7th grade math -
**dingbat**, Sunday, April 7, 2013 at 4:27pm
can someone please help me :0

- 7th grade math -
**Bosnian**, Sunday, April 7, 2013 at 4:45pm
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

- 7th grade math -
**dingbat**, Sunday, April 7, 2013 at 4:46pm
thank you :D

- 7th grade math -
**Bosnian**, Sunday, April 7, 2013 at 4:47pm
a1 = the length side of the smaller square

a2 = the length side of the larger square

## Answer This Question

## Related Questions

- Math - The ratio of the perimeters of two similar squares is 5 to 4. If the area...
- Math - A square with a side length of 2s has a smaller square inscribed. The ...
- geometry - the ratio of the perimeter of two similar squares is 5 to 4. If the ...
- Geometry - Please Please HELP!!!! I need the answer to this and i've worked it ...
- Geometry (PLEASE HELP!!!) - Please Please HELP!!!! I need the answer to this and...
- 6th grade math - The area of each square is twice the area of the next smaller ...
- Math - Two picture frames are similar. The ratio of the perimeters of the two ...
- Math problem solving investigation: guess and chec - The area of each square is ...
- Math please help - Two rectangular pieces of wood are similar. The ratio of the ...
- geometry - The area of the larger of two similar polygons is 729 square ...

More Related Questions