The pair of figures to the right are similar. What is the ratio of the perimeters and the ratio of the areas?
4in
6in
If the two figures are similar, then the ratio of their corresponding sides is equal.
Given:
1st figure: 4 inches
2nd figure: 6 inches
Perimeter ratio = (6+6+6+6) / (4+4+4+4) = 24 / 16 = 3/2
Area ratio = (6 * 6) / (4 * 4) = 36 / 16 = 9/4
Therefore, the ratio of perimeters is 3:2 and the ratio of areas is 9:4.