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The maximum area possible using 100 feet of Fencing is that inside a circular fence. But, since you asked about a rectangular fence:
a 25x25 fence would hold 625 square feet.
a 10x40 fence would hold 400 square feet.
a 5x45 fence would hold 225 square feet.
As you can see, the square is the rectangle that encompasses the largest area, as it is closest to a circle.
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