Posted by **sammy** on Monday, March 7, 2011 at 4:49pm.

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?

- geometry -
**Reiny**, Monday, March 7, 2011 at 5:34pm
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

## 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 ...

math - Area A sequence of smaller squares is formed by connecting the midpoints ...

math - Area A sequence of smaller squares is formed by connecting the midpoints ...

7th grade math - Q:The ratio of the perimeters of two square is 5 to 4. If the ...

geometry - Two corresponding sides of similar polygons are in the ratio of 2 : 7...

geometry - Two corresponding sides of similar polygons are in the ratio of 8:7. ...

Geometry Help - Out of 60 review questions I struggled with these ones. Someone ...

Math - Ok this goes with a picture but I can't bring it up so just imagine how ...

geometry - Quadrilateral Math has been dissected into squares. The area of the ...