SOLUTION: Solve the problem. You have 180 feet of fencing to enclose a rectangular region. What is the maximum area.

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Question 137333: Solve the problem. You have 180 feet of fencing to enclose a rectangular region. What is the maximum area.
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
The max area of a rectangle is always a square. So the sides should be 180/4.
Now, how do you find that out?
Let L be the length.
We know the perimeter of a rectangle is 2*length + 2 * width.
180+=+2L+%2B+2W
90+-+L+=+W+
Area = Length * width = L%2AW
A+=+L+%2A+%2890-L%29
A+=+90L+-+L%5E2
You can plot that using your calculator or find the zeros and then know that the shape is such that halfway between the zeros is the max