Graph the region that satisfies the constraints.
-A rectangular enclosure must have an area of at least 6300 square yards. If 320 yards of fencing is to be used, and the width cannot exceed the length, within what limits must the width of the enclosure lie?
A) $0 \leq w \leq 70$
B) $70 \leq w \leq 90$
C) $80 \leq w \leq 90$
D) $70 \leq w \leq 80$

Question

Graph the region that satisfies the constraints.
-A rectangular enclosure must have an area of at least 6300 square yards. If 320 yards of fencing is to be used, and the width cannot exceed the length, within what limits must the width of the enclosure lie? 
A) $0 \leq w \leq 70$
B) $70 \leq w \leq 90$
C) $80 \leq w \leq 90$
D) $70 \leq w \leq 80$

Quizplus · Accepted Answer

The perimeter constraint is $2l + 2w = 320$, simplifying to $l + w = 160$. The area constraint is $lw \geq 6300$. Solving these inequalities with $w \leq l$, the width $w$ must be between 70 and 80 yards.

Graph the Region That Satisfies the Constraints 0≤w≤700 \leq w \leq 700≤w≤70

Graph the Region That Satisfies the Constraints $0 \leq w \leq 70$