alg 2

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A rectangular plot is 30 feet long and 20 feet wide. The area will be doubled by adding a strip at one end and another strip of the same width on one side. What would be the width of the strip?

  • alg 2 -

    A = L*W = 30 * 20 = 600F^2.

    Width = X feet.
    A = (30+X) * (20+X) = 1200F^2,
    600 + 30X + 20X + X^2 = 1200,
    X^2 + 50X + 600 = 1200,
    X^2 + 50X - 600 = 0,

    (X-10)(X+60) = 0,
    X - 10 = 0,
    X = 10.

    X+60 = 0,
    X = - 60.

    Select the + value of X:
    X = 10 Feet.

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