Two rectangles have similar shapes. The side lengths of one rectangle are 6 cm and 12 cm. The longer side of the second rectangle is 32 in. What is the length of the shorter side in the second rectangle?
A)26 in
B)16 in
C)16 cm
D)22 in

Question

Quizplus · Accepted Answer

Since the two rectangles are similar, their corresponding sides are proportional. That means, the ratio of the longer side of the second rectangle to the longer side of the first rectangle is the same as the ratio of the shorter side of the second rectangle to the shorter side of the first rectangle.

This can be expressed as:

32/12 = x/6

where x is the length of the shorter side of the second rectangle.

Solving for x, we get:

x = (32/12) * 6 = 16

Therefore, the length of the shorter side in the second rectangle is 16 inches.

Two Rectangles Have Similar Shapes