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The maximum area that you can contain with a 4-meter rope is a circle with a diameter of 4/Ï€ meters and an area of 4/Ï€ square meters, or about 1.273 square meters.

If you use the rope to make an equilateral triangle with sides of 4/3 meter, you get an area of (4/9)(√3) or 0.770 square meters.

If you use the rope to make a square with sides of 1 meter, you get an area of 1.000 square meter.

If you make a polygon with more sides, the area bounded by your 4-meter rope will increase, approaching the limit of 4/Ï€ as the number of sides increases.

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