123123drinkteehee 123123drinkteehee
  • 19-03-2020
  • Mathematics
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The length of a rectangle is 3 inches longer than its width. If the perimeter of the rectangle is 54 inches, find it’s length and width.

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zoem24
zoem24 zoem24
  • 19-03-2020

Answer: Length = 15, Width = 12

Step-by-step explanation:

L = length

W = width

L = W+ 3

perimeter = 2L + 2W

54 = 2(W+3) + 2W

54 = 2W + 6 + 2W

54 = 4W + 6

54 - 6 = 4W

48 = 4W

W = [tex]\frac{48}{4}[/tex]

W = 12

now to find the length, plug the width into the equation L = W + 3

length:

L = W+3

L=12 +3

L = 15

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