Math

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Suppose a farmer has 120 feet of fencing to make a rectangular barnyard enclosure. If the enclosure is x feet long, express the area A of the enclosure as a function of the length x. Briefly explain.

  • Math -

    if length is x, then width is (120-2x)/2

    Area is then length x width or
    x * (60-x)

  • Math -

    A(x) = 60x – x2

    A(x) = 120x – x2

    A(x) = x2 – 30x

    Are any of these the answers?

  • Math -

    The 2 meaning squared of course so

    A(x) = 60x – x^2

    A(x) = 120x – x^2

    A(x) = x^2 – 30x

  • Math -

    x(60-x)=60x-x^2

  • Math -

    So A is the answer then?

    A(x) = 60x – x^2

    This was my first guess, was I correct?

  • Math -

    what is the square root of negtive 80

  • Math -

    I do not know. Does this have anything to do with my problem?

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