Question

the figures below are similar. the labeled sides are corresponding.
6.9 in
4.4 in
$p_1 = ?$
$p_2 = 22$ in
what is the perimeter of the larger pentagon?
$p_1 = \square$ inches

Explanation:

Step1: Find similarity ratio

$\text{Ratio} = \frac{6.9}{4.4}$

Step2: Set up perimeter proportion

$\frac{P_1}{P_2} = \frac{6.9}{4.4}$

Step3: Solve for $P_1$

$P_1 = 22 \times \frac{6.9}{4.4}$
$P_1 = \frac{22 \times 6.9}{4.4} = 5 \times 6.9 = 34.5$

Answer:

34.5 inches