Question

Quadrilateral JKLM is similar to quadrilateral NOPQ. Find the measure of side PQ.

Round your answer to the nearest tenth if necessary.

Answer 1

57.8

Explanation:

You have quadrilateral JKLM similar to quadrilateral NOPQ with given sides JK = 9, LM = 13.7, NO = 38, and you want the measure of PQ.

Proportion

Corresponding sides in similar figures are proportional in length:

PQ/LM = NO/JK

PQ/13.7 = 38/9

PQ = 13.7(38/9) = 2603/45 ≈ 57.8

The measure of PQ is approximately 57.8 units.