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March 30, 2017

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A pizza box top with a square base is to be made from a rectangular sheet of cardboard by cutting six 1-inch squares from the corners and the middle sections and folding up the sides. If the area of the base is to 144 in^2, what piece of cardboard should be used.

Please explain the process, thanks in advance.

  • Math Please Help - ,

    the base must be x-2 by x-2

    (x-2)^2 = 144
    x-2 = ±√144 = ±12 , but obviously x must be positive
    x-2=12
    so the base should be 14 by 14

    make a sketch to verify.

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