Question

The length of a rectangle is four times its width. If the perimeter is at most 130 centimeters, what is the greatest possible value for the width? Write an inequality to model the problem.. A.2w + 2 • (4w) < 130. B.2w + 2 • (4w) > 130. C. 2w + 2 • (4w) ≤ 130. D.2w + 2 • (4w) ≥ 130

Answer 1

2w + 2 • (4w) ≤ 130

Explanation:

took the test

Answer 2

Solution.

L = 4w --------The length of a rectangle is four times its width.
2w + 2L ≤ 130 ------- the perimeter is at most 130 centimeters.
Now, if substitute the first equation into the second inequality you will get
2w + 2 • (4w) ≤ 130.

Therefore, the inequality model in C is correct.

Bonus.
If you solve the inequality you will have a final answer w ≤ 13. The greatest value being 13.

Hope it helps,