SOLUTION: A farmer wants to build a rectangular fence and has 1000 meters of fencing material with which to build the fence. The enclosed area will be next to a straight river, so the fence

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Question 315107: A farmer wants to build a rectangular fence and has 1000 meters of fencing material with which to build the fence. The enclosed area will be next to a straight river, so the fence only needs to enclose 3 sides. Find the dimensions that will maximize the enclosed area.
Answer by malaydassharma(59) About Me  (Show Source):
You can put this solution on YOUR website!
L+2W=1000
Area=LW
=W(1000-2W)
=2W(500-W)
If one plots a graph of the above equation, will find maximum Area is at w=250
Hence, W=250 and L=500