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

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