brookegatlin brookegatlin
  • 03-05-2020
  • Mathematics
contestada

The length of a rectangle is 8 more than the width. The area is 660 square yards. Find the length and width of the rectangle.

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Tesleem
Tesleem Tesleem
  • 03-05-2020

Answer:

A (area) = L (length) x W (width).

L = W + 8, therefore A = (W + 8) x W

660 = W2 + 8W

W2 + 8W - 660 = 0

Factor to get (W + 30) x (W - 22) = 0

Possible solutions are W = -30 and W = 22.

W can't be < 0 so the only solution for W = 22 yd.

L = W + 8 = 30 yd.

22 x 30 = 660 yd2

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