SOLUTION: A rancher has 500 ft of fencing with which to build a rectangular corral alongside an existing fence. Determine the dimensions of the corral that will maximize the enclosed area.Be

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Question 1127966: A rancher has 500 ft of fencing with which to build a rectangular corral alongside an existing fence. Determine the dimensions of the corral that will maximize the enclosed area.Be sure to define a variable and write an equation.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
One length of x
Two lengths of y
Area A
x%2B2y=500
A=xy

A=%28500-2y%29y-------this area will have a maximum point

A=500y-2y%5E2
dA%2Fdy=500-4y=0
250-2y=0
250=2y
125=y

Dimensions for Maximum area
250 feet by 125 feet