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A farmer wants to make a square pen to keep some of his animals in a confined area. If one side of the square is 15 feet, how much Fencing will he need for the pen?

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Q: A farmer wants to make a square pen to keep some of his animals in a confined area If one side of the square is 15 feet, how much fencing will he need for the pen?
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How can you get an area of 46 feet squared with 24 feet of fencing?

That's not possible unless you slice the fencing in half or do some other devious maneuver. The largest confined area would be a square with four equal sides of six feet apiece. The internal area would be 36 square feet. Any other configuration would confine a smaller area.


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If the shape of the area is a square, it would take 1,181 feet of fencing for the perimeter. If the area is a circle, you will need 1,046 feet of fencing.


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That would probably be a 25x25 square with an area of 625 square feet.


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