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 2 : 1. The area of the red mat is 64 square feet. What is the area of the blue mat?

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 2 : 1.  The area of the red mat is 64 square feet. What is the area of the blue mat?

tennistar · Answer

32 square feet

cwrw238 · Answer

ratio of areas of red to blue = 2^2 : 1^2 = 4 : 1

so area of blue mat = 64  4 = 16 sq ft

anonymous · Answer

The ratios are a : b and a^2 : b^2 for area.
Just square the ratio and plug it in.
4 : 1
4/1 = 64/x
4x = 64
x = 16