Question

ratio & proportion quiz
geometry part 1ae teacher (acc ed) / congruence and similarity

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

20.9 in
22.1 in
13.1 in

Explanation:

Step1: Set up proportion

Since the polygons are similar, the ratios of corresponding sides are equal. So, \(\frac{x}{17}=\frac{16.9}{13}\).

Step2: Solve for \(x\)

Cross - multiply: \(13x = 17\times16.9\). Then \(x=\frac{17\times16.9}{13}\). Calculate \(17\times16.9 = 287.3\), and \(287.3\div13 = 22.1\).

Answer:

\(22.1\) in