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Jim wants to build a rectangular parking lot along a busy street but only has 2,200 feet of fencing available. If no fencing is required along the street, find the maximum area of the parking lot.

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HomertheGenius
The perimeter of the parking :
2 W + L = 2,200 ( there is no fence along the street )
L = 2200 - 2 W
The area of the parking is:
A = W  x L = W ( 2,200 - 2 W ) = 2,200 W - 2 W²
A` = 2,200 - 4 W
2,200 - 4 W = 0
4 W = 2,200
W = 2,200 : 4 = 550 ft
L = 2,200 - 1,100 = 1,100 ft
The maximum area is:
A max = 1,100 x 550 = 605,000 ft² 

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