The pair of figures to the right are similar. What is the ratio of the perimeters and the ratio of the areas?
12in
20in
The ratio of perimeters can be found by dividing the perimeter of the larger figure by the perimeter of the smaller figure:
Perimeter ratio = 20 in / 12 in = 5/3
The ratio of areas can be found by dividing the area of the larger figure by the area of the smaller figure. Since the figures are similar, the ratio of areas will be the square of the ratio of their corresponding sides:
Area ratio = (20/12)^2 = (5/3)^2 = 25/9