Question

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?

w ≤ 10 – l
2l + 2w ≥ 62
w ≤ 10 – l
2l + 2w > 62
w ≤ l – 10
2l + 2w ≥ 62
w ≤ l – 10
2l + 2w > 62

Answer 1

w ≤ l − 10
2l + 2w > 62

Reason: "Width is at least 10 meters less than the length" means l − w ≥ 10, i.e. w ≤ l − 10. "Perimeter is more than 62" gives 2l + 2w > 62.