Question

quadrilateral mnop is similar to quadrilateral qrst. find the measure of side qr. round your answer to the nearest tenth if necessary. figures are not drawn to scale.

Explanation:

Step1: Set up the proportion

Since the quadrilaterals are similar, the ratios of corresponding sides are equal. Let \(QR = x\). The proportion is \(\frac{MN}{QR}=\frac{ON}{SR}\). Substituting the values, we get \(\frac{7}{x}=\frac{13}{43}\).

Step2: Cross - multiply

Cross - multiplying gives \(13x = 7\times43\).

Step3: Solve for \(x\)

First, calculate \(7\times43 = 301\). Then \(x=\frac{301}{13}\approx23.2\).

Answer:

\(23.2\)