Question

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

$p_1 = ?$
$p_2 = 24$ ft

what is the perimeter of the smaller hexagon?
$p_1 = \square$ feet

Explanation:

Step1: Find similarity ratio

$\text{Ratio} = \frac{\text{Small side}}{\text{Large side}} = \frac{1}{4}$

Step2: Relate perimeters via ratio

$P_1 = P_2 \times \text{Ratio}$
$P_1 = 24 \times \frac{1}{4}$

Step3: Calculate small perimeter

$P_1 = 6$

Answer:

6 feet