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You don't mean the "maximum perimeter".

You can keep the perimeter of 80 feet, and shape the ring to make the area

as close to zero as you want it (but you can never make it exactly zero).

What you really want to ask is: What's the maximum areayou can make with a

perimeter of 80 feet ?

If you play with it for a while ... which you really should do ... you'll find that

the greatest area you can make with any perimeter is a circle, and the next

greatest is a square, with 1/4 of the perimeter on each side.

So for your boxing ring and 80 feet of ropes, the square is (20-ft x 20-ft), and

the area is 400 square feet. That's the biggest possible area.

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Q: What is the area of a boxing ring with the maxium perimeter of 80 feet?
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