50 by 25
As with all such problems, the maximum area is when the fence is divided equally among lengths and widths.
x+2y = 100
area = xy = x(100-2x)
now just find the vertex of that parabola.
Ian wants to fence three sides of a rectangular exercise yard for his dog. The fourth side of the exercise yard will be a side of the house. He has 100 feet of fencing available. Find the dimensions that will enclose the maximum area.
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