Question

the figures below are similar. the labeled sides are corresponding.
what is the ratio of the perimeter of the smaller square to the perimeter of the larger square?
write your answer as the ratio of two whole numbers separated by a colon (for example,
2:3).

Explanation:

Step1: Find perimeter of smaller square

A square's perimeter is \(4\times\text{side}\). For the smaller square with side \(1\) in, perimeter \(P_1 = 4\times1=4\) in.

Step2: Find perimeter of larger square

For the larger square with side \(2\) in, perimeter \(P_2 = 4\times2 = 8\) in.

Step3: Find the ratio

The ratio of the perimeter of the smaller square to the larger square is \(P_1:P_2=4:8 = 1:2\).

Answer:

1:2