Question: Problem 1. Let L be a fixed positive number. You have a piece of string of length L. You cut the string into two pieces,

Problem 1. Let L be a fixed positive number. You have

Problem 1. Let L be a fixed positive number. You have a piece of string of length L. You cut the string into two pieces, one of length r and one of length L - r. Then you make a square out of the piece of string of length r and a circle out of the piece of string of length L- x. Find the value of r that minimises the total area enclosed by the square and the circle

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