Question

quadrilateral hijk is similar to quadrilateral lmno. find the measure of side mn. figures are not drawn to scale.

Explanation:

Step1: Set up proportion

Since the quadrilaterals are similar, the ratios of corresponding sides are equal. Let \(MN = x\). The proportion is \(\frac{MN}{IJ}=\frac{LM}{HI}\), which is \(\frac{x}{15}=\frac{5.4}{30}\).

Step2: Solve the proportion

Cross - multiply: \(30x=15\times5.4\). Then \(30x = 81\). Divide both sides by 30: \(x=\frac{81}{30}=2.7\).

Answer:

\(2.7\)