Question

these are similar figures. solve for x. 3 in. 4 in. x 14 in. 20 in. 10\frac{1}{2} in. 5\frac{1}{2} in.

Explanation:

Step1: Set up proportion

For similar figures, the ratios of corresponding sides are equal. So we have $\frac{3}{x}=\frac{4}{14}$.

Step2: Cross - multiply

$4x = 3\times14$.

Step3: Simplify right - hand side

$4x=42$.

Step4: Solve for x

$x=\frac{42}{4}=\frac{21}{2}=10\frac{1}{2}$ in.

Answer:

$10\frac{1}{2}$ in.