Solve the problem.
-A rectangular enclosure must have an area of at least $500 \mathrm{yd}^{2}$. If $120 \mathrm{yd}$ of fencing is to be used, and the width cannot exceed the length, within what limits must the width of the enclosure lie?
A) $10 \leq \mathrm{w} \leq 50$
B) $30 \leq \mathrm{w} \leq 50$
C) $10 \leq \mathrm{w} \leq 30$
D) $0 \leq \mathrm{w} \leq 10$

Question

Quizplus · Accepted Answer

The perimeter constraint is $2l + 2w = 120$, simplifying to $l + w = 60$. The area constraint is $lw \geq 500$. Solving these inequalities gives $10 \leq w \leq 30$.

Solve the Problem 500yd2500 \mathrm{yd}^{2}500yd2 If 120yd120 \mathrm{yd}120yd Of Fencing Is to Be Used, and the Width Cannot

Solve the Problem $500 \mathrm{yd}^{2}$ If $120 \mathrm{yd}$ Of Fencing Is to Be Used, and the Width Cannot