15 POINTS!!!!!! PLEASE HELP!!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? 13 cm 21.7 cm 26 cm 52 cm

Question

01-03-2017
Mathematics

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15 POINTS!!!!!! PLEASE HELP!!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? 13 cm 21.7 cm 26 cm 52 cm

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Noah11012 Noah11012 · Answer 1 · 2017-03-01T18:54:13+01:00

Here is the information we have:

1. The perimeter is at most 130 cm.
2. The length of the rectangle is 4 times the width.
We can let l stand for length and w for width.

The formula for the perimeter of a rectangle is 2l + 2w.
We have to change the formula a bit.
The length of this rectangle is going to be 4 times the width
So, replace 2l with 2(4w).

Then make this equation equal to 130.

2(4w) + 2w = 130 ; Start
8w + 2w = 130 ; Distribute the 2 across the 4w
10w = 130 ; Combine the like terms 8w and 2w
w = 13 ; Divide both sides by the coefficient of w. Which is 10