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Finding Length and Width from Area of a Rectangle


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Posted by dolphin@eskimo.com (64.24.187.58) on October 27, 2001 at 02:45:01:

In Reply to: Find the Dimension Word Problem posted by on October 26, 2001 at 23:38:13:


Let w = the width of the lot

Then w + 8 = the length of the lot

Area = Length Width

(w)(w + 8) = 2900

w^2 + 8w = 2900

w^2 + 8w - 2900 = 0

Use the quadratic formula:

w = [-8 sqrt(8^2 - 4(1)(-2900))]/[(2)(1)]

w = [-8 sqrt(11664)]/2

w = [-8 108]/2

w = 50 or w = -58

Lengths are always positive, so we ignore the negative root.

width = 50

length = w + 8 = 58

The lot is 50 feet by 58 feet.

~ Mark



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