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Geometry

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A rectangular swimming pool that is 12ft by 15 ft has a deck of uniform width built around it. If the area of the deck is 198 square feet, find its width.

  • Geometry -

    (12 +2w)(15 + 2w)= 198 + 180
    4w^2 + 54 w - 198 = 0
    2w^2 + 27w -99 = 0
    (2w + 33)(w - 3) = 0
    w = 3 ft

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