Question

these two shapes are similar. find a. a = □ inches 3 in. 9 in. 2 in. a

Explanation:

Step1: Set up proportion

For similar - shaped rectangles, the ratios of corresponding sides are equal. Let the first rectangle have sides 9 in and 3 in, and the second have sides a and 2 in. The proportion is $\frac{9}{3}=\frac{a}{2}$.

Step2: Cross - multiply

Cross - multiplying gives $3a = 9\times2$.

Step3: Solve for a

$3a=18$, then $a=\frac{18}{3}=6$.

Answer:

6