Question

question
quadrilateral ( ghij ) is similar to quadrilateral ( klmn ). find ( kl ). round your answer to
the nearest tenth if necessary. figures are not drawn to scale.
answer attempt 1 out of 2

Explanation:

Step1: Set up the proportion

Since the quadrilaterals are similar, the ratios of corresponding sides are equal.
\(\frac{GH}{KN}=\frac{JG}{KL}\)
Substitute the known values: \(\frac{17}{49}=\frac{11}{x}\)

Step2: Cross - multiply

Cross - multiply the proportion: \(17x = 11\times49\)

Step3: Solve for \(x\)

First, calculate \(11\times49 = 539\). Then \(x=\frac{539}{17}\approx31.8\)

Answer:

\(31.8\)