Question

1. the following two polygons are similar. find the missing side length represented by x.

13.1 in
12.9 in
20.9 in
22.1 in

Explanation:

Step1: Set up proportion

For similar polygons, the ratios of corresponding - sides are equal. So, we have the proportion $\frac{x}{17}=\frac{16.9}{13}$.

Step2: Cross - multiply

Cross - multiplying gives us $13x = 17\times16.9$.

Step3: Calculate the right - hand side

$17\times16.9 = 287.3$. So, $13x=287.3$.

Step4: Solve for x

Dividing both sides by 13, we get $x=\frac{287.3}{13}=22.1$.

Answer:

D. 22.1 in