Posted by Trisan on Wednesday, November 18, 2009 at 11:53pm.
Let w be the sidewalk width.
The total sidewalk area will be
24w + 60w + 4w^2.
Drawing yourself a figure should show you why. The 4w^2 term is the area of the corners.
Set that equal to 200 and solve for w.
4w^2 +84w - 200 = 0
w^2 + 21w -50 = 0
You need to use the quadratic equation on that. It does not factor easily, an the roots are no integers.
w = [-21 + sqrt641]/2 = 2.159 feet is the positive root. Ignore the negative solution.
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