<PRE><B>Question 497045</B>
The  perimeter of the rectangle is 
2W + 2 L
Because there are only 3 sides, the perimeter will be 
P = 2W + L

100 = 2W + L

Now, rearrange for length
L = 100 = 2W

Now the area formula:
A = L*W
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Area = W(100 - 2W)
Area = 100x -2x^2
This becomes a quadratic equation:
-2W^2 + 100W
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Find the max area width by finding the axis of symmetry; 
W = -b/(2a)
a= -2
b = 100

W = -100 / -4
W = 25 feet. This is the width.

L = 100 - 2W = 50 feet. This is the length.
25 * 50 = 1250 ft, this is the maximum area.
Cleomenius.

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