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xxMikexx [17]
3 years ago
14

The length of a rectangle is four times its width. If the perimeter is at most 130 centimeters, what is the greatest possible va

lue 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
Mathematics
1 answer:
pashok25 [27]3 years ago
5 0

Solution.

L = 4w --------<span>The length of a rectangle is four times its width.
</span>2w + 2L ≤ 130 ------- <span>the perimeter is at most 130 centimeters.
</span>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,
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