SOLUTION: You have 50 yards (50-2x) of fencing to enclose a rectangular region. Find the dimensions of the rectangle that maximize the enclosed area. What is the maximum area? This involves
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Question 881026: You have 50 yards (50-2x) of fencing to enclose a rectangular region. Find the dimensions of the rectangle that maximize the enclosed area. What is the maximum area? This involves quadratic functions if that makes it easier to understand.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The perimeter of the rectangle is,
The area of the rectangle is,
Substitute from above,
Differentiate with respect to W and set the derivative equal to zero.
Then,
The maximum area for a given perimeter is a square.
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