SOLUTION: You have 312 feet of fencing to enclose a rectangular region. Find the dimensions of the rectangle that maximize the enclosed area

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Question 1131035: You have 312 feet of fencing to enclose a rectangular region. Find the dimensions of the rectangle that maximize the enclosed area
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The max area for a given perimeter is that of a square.
I can prove it.

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
A rectangle of a given perimeter has a maximum area if and only if it is a square.

For the proof,  see the lesson
    - A rectangle with a given perimeter which has the maximal area is a square
in this site. 

So, in your case a rectangle must be a square with the side length of  312/4 = 78 feet.      Answer