If length along river is y, and width =x,
2x+y = 92
a = xy = x(92-2x)
This is a parabola with roots 0,46.
So, maximum value is reached at x=23.
So, the pen is 23x46
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You have 92 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side alongthe river, find the length and width of the plot that will maximize the area.
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