Question

quadrilateral hijk is similar to quadrilateral lmno. find the measure of side ol. round your answer to the nearest tenth if necessary.

Explanation:

Step1: Set up the proportion

Since the quadrilaterals are similar, the ratios of corresponding sides are equal. Let \(OL = x\). The proportion is \(\frac{OL}{KH}=\frac{ON}{KJ}\). Substituting the values, we get \(\frac{x}{31}=\frac{5.5}{21}\).

Step2: Solve for \(x\)

Cross - multiply: \(21x=31\times5.5\). Then \(21x = 170.5\). Divide both sides by 21: \(x=\frac{170.5}{21}\approx8.1\).

Answer:

\(8.1\)