Carly C.

asked • 10/02/23

Helppppppppppppppppp

The length of a rectangle is four times its width. If the perimeter of the rectangle is 70 m, find its length and width.

Robert P.

Hi Carly! Thanks for posting the question. So, the perimeter of a rectangle is the following: 2L + 2W = P Where P is the perimeter, W is the width, and L is the length. We are given that the length is four times that of it's width. Therefore, we can rewrite our equation from above to be the following instead: 2(4W)+2W=P 8W+2W=P 10W=P Moreover, we're given that the perimeter is 70m. So, 10W = 70 Dividing both sides by 10 gives us, W=7 And, since we know from before that the length is four times the width, i.e. L=4W, we can just solve for L. L=4(7) L=28 Finally, to answer the question directly, the length and width are 28m and 7m respectively. I hope this helps! Please let me know if you have any further questions! 👍
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10/02/23

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