Question

the quadrilaterals abcd and pqrs are similar. find the length x of qr.

Explanation:

Step1: Set up proportion

Since the quadrilaterals are similar, the ratios of corresponding sides are equal. So, \(\frac{AB}{PQ}=\frac{BC}{QR}\). Substituting the values, we get \(\frac{2}{3.6}=\frac{3}{x}\).

Step2: Cross - multiply

Cross - multiplying gives \(2x = 3\times3.6\).

Step3: Solve for \(x\)

First, calculate \(3\times3.6 = 10.8\). Then, \(x=\frac{10.8}{2}\).

Answer:

\(5.4\)