SOLUTION: the contractor has 300 meters of fencing available, if the side along the building will not be fenced, what are the dimension that will maximize the enclosed area?

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Question 1082031: the contractor has 300 meters of fencing available, if the side along the building will not be fenced, what are the dimension that will maximize the enclosed area?
Answer by josgarithmetic(39799) About Me  (Show Source):
You can put this solution on YOUR website!
If rectangle, y along the building, x for the each adjascent side, A for area;
2x%2By=300, and A=xy.

A=x%28300-2x%29

The two roots for A are x=0 and 300=2x; 150=x.
The maximum A should be in the exact middle of these two roots:
%280%2B150%29%2F2=75
or
maximum A is at x=75.

y=300-2x
y=300-2%2A75
y=150


Side opposite the house, 150 meters;
each side perpendicular to the house 75 meters.