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Stella [2.4K]
3 years ago
10

The length of a rectangle is 5 more than twice its width. if the perimeter of the rectangle is 82 centimeters, find its length a

nd its width.
Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
8 0

P = 2L + 2W, keep that in mind (W=width, L=length)

Just fill it in. 82=2(5+2w) + 2w. First solve for w.

82 = 10+ 10w + 2w,

82 = 10 + 12w. Now subtract the 10 from both sides, and get:

72 = 12w, now divide both sides by 12, and get:

6 = w.

W is 6.


Now to solve for L, go back to the problem we had, L = 5 + 2w. Fill in w,

L = 5 + 2(6), and then it is L = 5 + 12.

It is a simple addition equation now.

L = 17, W = 6

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