Question

the quadrilaterals abcd and jklm are similar. find the length x of \overline{jk}.

Explanation:

Step1: Set up the proportion

Since the quadrilaterals are similar, the ratios of corresponding sides are equal. So, \(\frac{AD}{JM}=\frac{AB}{JK}\). Substituting the given values: \(\frac{4}{5.6}=\frac{7}{x}\).

Step2: Cross - multiply

Cross - multiplying gives \(4x = 5.6\times7\).

Step3: Calculate the right - hand side

\(5.6\times7 = 39.2\). So, \(4x=39.2\).

Step4: Solve for \(x\)

Divide both sides by \(4\): \(x=\frac{39.2}{4}\).

Answer:

\(x = 9.8\)