davidswafforddd2332 davidswafforddd2332
  • 22-01-2019
  • Mathematics
contestada

The length of a rectangle is four times its width. if the perimeter of the rectangle is 100 in , find its length and width.

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bcrawf11
bcrawf11 bcrawf11
  • 22-01-2019
Let l = length
Let w = width

l = 4w (length is 4x width)
2l + 2w = 100 (perimeter is two lengths and two widths)

2(4w) + 2w = 100 (substitute)
8w + 2w = 100 (solve)
10w = 100
w = 10

l = 4(10) (plug in)
l = 40

The length of the rectangle is 40in and the width is 10in.
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