Question

quadrilateral defg is similar to quadrilateral hijk. find the measure of side jk. 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 \(JK = x\). The proportion is \(\frac{GD}{KH}=\frac{GF}{JK}\). Substituting the values, we get \(\frac{7}{31}=\frac{4}{x}\).

Step2: Solve the proportion for \(x\)

Cross - multiply: \(7x = 31\times4\). So \(7x=124\). Then \(x=\frac{124}{7}\approx17.7\).

Answer:

\(17.7\)