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    A wire 10 feet long is to be cut into two pieces, each of which is to formed into a square. What is the largest possible total area of the two squares? What is the smallest possible total area?

    © BrainMass Inc. brainmass.com February 24, 2021, 2:23 pm ad1c9bdddf
    https://brainmass.com/math/optimization/optimization-total-area-squares-18262

    Solution Preview

    Let 2 pieces be x , 10-x.

    Total Area = x^2 + (10-x)^2

    A = X^2 + 100 + X^2 -20X

    dA/dx = 4x - 20.

    d2A/d2x ( second derivative) ...

    Solution Summary

    The optimization for the total areas of squares are given. The smallest possible total area are analyzed.

    $2.19

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