Question

the figures below are similar. the labeled sides are corresponding.

3 in
7 in

what is the ratio of the perimeter of the smaller rectangle to the perimeter of the larger rectangle?
write your answer as the ratio of two whole numbers separated by a colon (for example, 2:3).

Explanation:

Step1: Recall perimeter ratio of similar figures

For similar figures, the ratio of their perimeters is equal to the ratio of their corresponding side lengths.

Step2: Identify corresponding side lengths

The smaller rectangle has a side length of 3 in, and the larger one has 7 in (corresponding sides).

Step3: Determine perimeter ratio

So the ratio of the perimeter of the smaller to the larger rectangle is the ratio of their corresponding sides, which is \( 3:7 \).

Answer:

\( 3:7 \)