Question

these are similar figures. solve for x. $\frac{3}{4}$ in. 1 in. 2 in. $2\frac{1}{4}$ in. $2\frac{2}{3}$ in. $1\frac{1}{2}$ in.

Explanation:

Step1: Set up proportion

For similar figures, the ratios of corresponding sides are equal. So we have the proportion $\frac{\frac{3}{4}}{x}=\frac{1}{2}$.

Step2: Cross - multiply

Cross - multiplying gives us $1\times x=\frac{3}{4}\times2$.

Step3: Simplify the right - hand side

$\frac{3}{4}\times2=\frac{3\times2}{4}=\frac{6}{4}=\frac{3}{2}=1\frac{1}{2}$.

Answer:

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