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A gardener has 60 feet of fencing with which to enclose a garden adjacent to a long existing wall. The gardener will use the wall for one side and the available fencing for the remaining three sides.

(a) If the sides perpendicular to the wall have length x feet, which of the following represents the area A of the garden?
A(x) = –2x2 + 30x
A(x) = –2x2 + 60x
A(x) = x2 – 60x
A(x) = 2x2 – 60x

  • Algebra - ,

    Online "^" indicates an exponent.

    Area = length * width

    If x = length of each of the two sides, then the width = 60 - 2x

    Thus the area = x(60-2x) = 60x - 2x^2

    Unless you have a typo, I would not pick any of the choices.

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