Question

these two shapes are similar. find b. 5 in. 20 in. b 8 in.

Explanation:

Step1: Set up proportion for similar shapes

Since the shapes are similar, the ratios of corresponding sides are equal. So, $\frac{5}{b}=\frac{20}{8}$ (or $\frac{5}{20}=\frac{b}{8}$).

Step2: Solve for \( b \)

Cross - multiply: \( 20b = 5\times8 \)
Simplify right - hand side: \( 20b=40 \)
Divide both sides by 20: \( b=\frac{40}{20}=2 \)

Answer:

\( b = 2 \) inches