The length of a rectangle is 3 inches more that its width. The perimeter of the rectangle is at least 30 inches. Which inequalit

Question

3 years ago

5

The length of a rectangle is 3 inches more that its width. The perimeter of the rectangle is at least 30 inches. Which inequalit

y shows the possible range of widths of the rectangle?
A. w ≥ 16.5 inches
B. w ≥ 13.5 inches
C. w ≥ 9 inches
D. w ≥ 6 inches

Mathematics

1 answer:

Nutka1998 [239] · Answer 1 · 2022-04-26T08:15:19+03:00

<span>Perimeter of a rectangle: 2(l + w)
</span>
2(l + w) ≥ 30 in
<span>

Simplify- divide both sides by 2.

l + w ≥ 15 in

Substitute (w + 3) into l so only 1 variable is used.

(w + 3) + w ≥ 15 in

Simplify further- add variables and subtract 3 from both sides.

2w ≥ 12 in

Divide both sides by 2.

w ≥ 6 in

Answer: D</span>