Question

question
quadrilateral klmn is similar to quadrilateral opqr. find the measure of side pq. round your answer to the nearest tenth if necessary.

Explanation:

Step1: Identify corresponding sides

Since quadrilaterals KLMN and OPQR are similar, their corresponding sides are proportional. Let's assume \( KN \) corresponds to \( OR \), and \( ML \) corresponds to \( PQ \). So we have the proportion \(\frac{KN}{OR}=\frac{ML}{PQ}\).
Given \( KN = 13.6 \), \( OR = 6 \), \( ML = 7 \).

Step2: Set up the proportion equation

Substitute the known values into the proportion: \(\frac{13.6}{6}=\frac{7}{PQ}\).

Step3: Solve for \( PQ \)

Cross - multiply: \( 13.6\times PQ=6\times7 \).
\( 13.6\times PQ = 42 \).
Then \( PQ=\frac{42}{13.6}\approx3.1 \) (rounded to the nearest tenth).

Answer:

\( 3.1 \)