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College Algebra

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The area of a rectangular wall of a barn is 24 square feet. Its length is 8 feet longer than twice its width. Find the length and width of the wall of the barn

  • College Algebra -

    Width = X Ft.
    Length = (2x+8) Ft.

    x*(2x+8) = 24Sq. Ft.
    2x^2 + 8x = 24
    Divide both sides by 2:
    x^2 + 4x = 12
    x^2 + 4x - 12 = 0.
    (x-2)(x+6) = 0


    x - 2 = 0
    X = 2 = Width.

    x + 6 = 0
    X = -6. Negative value not valid.
    2x+8 = 2*2 + 8 = 12 = Length.

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