Find maximum value of function-cut wire to get maximum area


A wire of length 10 meters is cut into two parts. One piece is bent into a circle and the other piece is bent into an equilateral triangle. The goal is to determine how to cut the wire in order to obtain the maximum area. To this end, set up a mathematical function (also specify its domain) whose maximum value in its domain corresponds to the maximum area obtained. You don't have to find the maximum value of the function. Your job is to just get the right function.

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Mathematics: Find maximum value of function-cut wire to get maximum area
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