Question

the figures below are similar. the labeled sides are corresponding.
6 cm
8 cm
$p_1 = 24$ cm
$p_2 = ?$
what is the perimeter of the larger square?
$p_2 = \square$ centimeters

Explanation:

Step1: Find similarity ratio

$\text{Ratio} = \frac{8}{6} = \frac{4}{3}$

Step2: Relate perimeters to ratio

$P_2 = P_1 \times \text{Ratio}$

Step3: Calculate $P_2$

$P_2 = 24 \times \frac{4}{3} = 32$

Answer:

32 centimeters