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  • 22-03-2021
  • Mathematics
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The length of a rectangle is one inch less than three times its width. If the perimeter of the rectangle is 118 inches, find the dimensions of the rectangle.

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math3683 math3683
  • 22-03-2021
We can set up the width a X and, from the description the length would be 3X-1. The perimeter of a rectangle is determined by 2XL + 2Xw. Plugging into the equation 2(3X-1) + 2(X) = 118. Next distribute to get 6X-2 + 2X = 118. Combine like terms to get 8X = 120. Divide by 8 to get X = 15. The width is 15. The length is 3(15)-1 or 44. 88 +30 = 118
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