geometry
posted by sammy on .
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?

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