the width of a rectangle is half its length. the perimeter is 36 inches. whar are the dimensions of the rectangle

Question

03-02-2021
Mathematics

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the width of a rectangle is half its length. the perimeter is 36 inches. whar are the dimensions of the rectangle

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angstar4 angstar4 · Answer 1 · 2021-02-03T00:38:40+01:00

angstar4 angstar4

03-02-2021

Width of a rectangle is half its length:
2w = l
Perimeter is 36
2w + 2l = 36

Plug first equation into second (substitution)

2w + 2(2w) = 36
2w + 4w = 36
6w = 36
w = 6

Plug back into first equation to solve for l

2(6) = 12 = l

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