SOLUTION: Farmer Fred wants to fence in a rectangular pasture that is bordered on one side by a river. He plans to use 7200 feet of fence to enclose the other three sides . What should the d
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Question 889070: Farmer Fred wants to fence in a rectangular pasture that is bordered on one side by a river. He plans to use 7200 feet of fence to enclose the other three sides . What should the dimensions of the pasture be if the enclosed area is to be maximum?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Let the side parallel to the river be X and the other side Y.
The area would then be,
Substitute for Y using the perimeter equation,
To find the extrema, differentiate with respect to X and set the derivative equal to zero.
Then,
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