. (a) The ratio of the lengths of the corresponding sides is s1/ s2 = 3/5. (b) The length of the first rectangle is 8 m, and the length of the second rectangle is 6 m.

Question

Find the ratio A1/ A2 of the areas of two similar rectangles for the following scenarios.

.

(a) The ratio of the lengths of the corresponding sides is s_1/ s_{2 = 3/5.}

(b) The length of the first rectangle is 8 m, and the length of the second rectangle is 6 m.

Answer 1

The ratio of the areas of the two similar figures is the square of the ratio of the corresponding sides.

a) So if the ratio of the sides is 3/5, the ratio of the areas is (3/5)**2 = 9/25

b) the ratio of the lengths is 8/6 = 4/3, so the ratio of the areas is (4/3)**2 = 16/9