27
QuizMultiple Choice

Unit Test — Cumulative exam

Question 27 • High School Math 2 A

The perimeter of a rectangular pool is more than 62 meters, and the width is at least 10 meters less than the length. Which system of inequalities represents the possible length in meters, l, and the possible width in meters, w, of the pool?

Answer
A
w ≤ 10 – l2l + 2w ≥ 62
B
w ≤ 10 – l2l + 2w > 62
C
w ≤ l – 102l + 2w ≥ 62
D
w ≤ l – 102l + 2w > 62

Explanation

A rectangle’s perimeter is 2l + 2w, so “more than 62 meters” means 2l + 2w > 62. “The width is at least 10 meters less than the length” means w ≤ l − 10, so choice D matches both conditions.

AI-written and checked against the verified answer.

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