Question: Problem 5 (10 points): Consider a closed curve in the plane, that does not self-intersect and has total length (perimeter) P. If A denotes the

Problem 5 (10 points): Consider a closed curve in the plane,

that does not self-intersect and has total length (perimeter) P. If A

Problem 5 (10 points): Consider a closed curve in the plane, that does not self-intersect and has total length (perimeter) P. If A denotes the area enclosed by the curve, prove that p2 > 41A

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