the perimeter of a rectangular pool is more than 62 meters, and the width is at least 10 meters less than…

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?\n(wleq10 - l)\n(2l + 2wgeq62)\n(wleq10 - l)\n(2l + 2w>62)\n(wleq l - 10)\n(2l + 2wgeq62)\n(wleq l - 10)\n(2l + 2w>62)

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?\n(wleq10 - l)\n(2l + 2wgeq62)\n(wleq10 - l)\n(2l + 2w>62)\n(wleq l - 10)\n(2l + 2wgeq62)\n(wleq l - 10)\n(2l + 2w>62)

Answer

Explanation:

Step1: Translate width - length relationship

The width is at least 10 meters less than the length, so $w\leq l - 10$.

Step2: Translate perimeter condition

The perimeter of a rectangle is $P = 2l+2w$. Since the perimeter is more than 62 meters, $2l + 2w>62$.

Answer:

$w\leq l - 10$, $2l + 2w>62$ (corresponding to the fourth - option in the multiple - choice list)