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March 28, 2017

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The path around a square flower bed is 3 feet wide. If the area of the flower bed is equal to the area of the path, find the dimensions of the flower bed.

  • Advance Math - ,

    area of bed = x^2

    area of whole figure = (x+6)^2

    area of path = (x+6)^2 - x^2
    so
    x^2 + 12 x + 36 -x^2 = x^2

    -x^2 + 12 x + 36 = 0
    x^2 - 12 x - 36 = 0
    (x-6)(x-6) = 0
    x = 6

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