Question

A kindergarten school has square mats in two colors, red and blue. The ratio of the perimeter of the red mat to the perimeter of the blue mat is 1 : 2. The area of the blue mat is 100 square feet.

What is the area of the red mat?

Answer 1

vosotros sois?

Answer 2

?

Answer 3

The ratio of the areas of two similar shapes is the square of the ratio of their perimeters (since area is in square units but perimeter is just in regular units). So the ratio of the areas is 1^2 + 2^2 = 1 : 4

so 1:4 = r:100
4r = 100
r = 25 ft^2