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S_A_V [24]
3 years ago
8

The length of a rectangle is three times it's width. If the perimeter of the rectangle is 64, find its length and width

Mathematics
1 answer:
wlad13 [49]3 years ago
6 0

set up an equation for the perimeter

l = length w = width

2l + 2w = 64

set up another equation as you know the length is 3 times the width

w = 3l

subsitute w = 3l into the 2l + 2w = 64

2l + 2(3l) = 64

solve for l

2l + 6l = 64

8l = 64

<em><u>length</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>8</u></em>

subsitute into w = 3l

w = 3(8)

<em><u>width</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>2</u></em><em><u>4</u></em>

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