A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric fence. With 800m of wire at your disposal, what is the largest area you can enclose, and what are its dimensions.

Question

anonymous · Answer

The largest area you can enclose is when the area is square. (800/3)^2=71111m^2

anonymous · Answer

its an optimization problem

anonymous · Answer

Hmm, you're right. It's only square if all four sides are bound by the fence. My mistake.

anonymous · Answer

isnt x+y=800
2x2y=P
solve for y=800-x
2x(800-x)=P
1600x-2x^2=P
f'(p)=1600-4x
4(400-x)=0   so   x=400

anonymous · Answer

2x+y=800