Question

the quadrilaterals j k l m and p q r s are similar. find the length x of \overline{r s}.

Explanation:

Step1: Set up the proportion

Since the quadrilaterals are similar, the ratios of corresponding sides are equal. So, \(\frac{2}{2.8}=\frac{7}{x}\).

Step2: Cross - multiply

Cross - multiplying gives \(2x = 2.8\times7\).

Step3: Calculate the right - hand side

\(2.8\times7=19.6\), so \(2x = 19.6\).

Step4: Solve for \(x\)

Dividing both sides by 2, \(x=\frac{19.6}{2}\).

Answer:

\(x = 9.8\)