Question

the figures below are similar. the labeled sides are corresponding.
9 ft
3 ft
$p_1 = 30$ ft
$p_2 = ?$
what is the perimeter of the smaller rectangle?
$p_2 = \square$ feet

Explanation:

Step1: Find the scale factor

The ratio of the corresponding sides is $\frac{3}{9}=\frac{1}{3}$.

Step2: Apply the scale factor to the perimeter

Since the perimeters of similar figures are in the same ratio as their corresponding sides, we multiply the perimeter of the larger rectangle by the scale factor. So $P_2 = 30\times\frac{1}{3}$.

Step3: Calculate the result

$30\times\frac{1}{3}=10$.

Answer:

10