Calculus

A 100 inch piece of wire is cut into two pieces. Each piece of wire is used to make a square wire frame. Let x be the length of one piece of the wire. Determine an algebraic representation A(x) for the total area of the two squares.

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  1. The two pieces are of length x and 100-x
    Since a square has four equal sides,

    A(x) = (x/4)^2 + ((100-x)/4)^2

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