the length of a rectangle is four times its width. if the perimeter is at most 106 centimeters, what is the greatest possible value for the width? which inequality models this problem?

Respuesta :

If you solve the inequality you will have a final answer w ≤ 10. The greatest value being 10.

According to the statement

We have to find that the value of the width.

So, For this purpose, we all know that the

A rectangle may be a form of quadrilateral, whose opposite sides are equal and parallel.

From the given information:

the length of a rectangle is fourfold its width. if the perimeter is at the most 106 centimeters

Then

L = 4w --------The length of a rectangle is fourfold its width.

2w + 2L ≤ 106 ------- the perimeter is at the most 130 centimeters.

Now, if substitute the primary equation into the second inequality you may get

2w + 2 • (4w) ≤ 106.

Therefore, the inequality model becomes 2w + 2 • (4w) ≤ 106.

So, If you solve the inequality you will have a final answer w ≤ 10. The greatest value being 10.

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