Question

maintain accuracy figures a and b are similar. figure a has a perimeter of 24 inches. figure b has a perimeter of 36 inches, and one of the side lengths is 12 inches. find the missing corresponding side length.
the missing corresponding side length is inches.

Explanation:

Step1: Find similarity ratio

$\text{Ratio} = \frac{\text{Perimeter of A}}{\text{Perimeter of B}} = \frac{24}{36} = \frac{2}{3}$

Step2: Set up proportion for sides

Let $x$ = missing side in A.
$\frac{x}{12} = \frac{2}{3}$

Step3: Solve for $x$

$x = 12 \times \frac{2}{3} = 8$

Answer:

8