SOLUTION: I have 24ft of fencing and need to get an area of 64ft squared. How can I do this?

Question 337779: I have 24ft of fencing and need to get an area of 64ft squared.
How can I do this?

Found 3 solutions by Fombitz, jim_thompson5910, JohnBoy1941:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
It's not possible.
The most efficient shape is the square that provides the maximum area for a given perimeter.
For a perimeter of 24 ft, the side of the square, would be,

The maximum area that can be developed with 24 feet of fencing would be,
sq. ft.
Consider using the wall of a building to reduce the need for fencing on one or more sides.

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Unfortunately, the max area that you can fence off with 24 ft of fencing is 36 square feet. It's possible that there may be a typo in your book.
Answer by JohnBoy1941(1)   (Show Source): You can put this solution on YOUR website!
You can enclose an area of nearly 46 sq ft if you arrange your fencing as the perimeter of a circle. With a string of a given length a circle encloses most space, but you can't get 64 square feet(I guess that is what you mean) from a 24ft string.
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