A rectangular cow pasture is enclosed on three sides by a fence and the fourth side is part of the side of a barn that is $400$ feet long. The fence costs $/$5$ per foot, and $/$1,/!200$ altogether. To the nearest foot, find the length of the side parallel to the barn that will maximize the area of the pasture.
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Home » Mathematics » A rectangular cow pasture is enclosed on three sides by a fence and the fourth side is part of the side of a barn that is $400$ feet long. The fence costs $/$5$ per foot, and $/$1,/!200$ altogether.