Question

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.
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.

Related Questions

A rectangular field is surrounded by a fence on three of its sides, and a straight hedge on the four... A rectangular play yard is to be constructed along the side of a house by erecting a fence on three... a rectangular yard is to be enclosed by a new fence on 3 sides and by an existing fence on the fourt...