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13 May, 23:23

Moira buys a new rectangular rug that is 3 inches shorter than her old rectangular rug. The area of the new rug is (x^2 + 2x - 15) in^2. The rug is 0, 5, 7 or 15 inches Wider or Narrower?

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  1. 13 May, 23:27
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    The area of the new rug is

    x² + 2x - 15

    Since

    A = l x w

    The new rug is 3 in shorter than her old rug, so we divide the area by (x - 3)

    (x² + 2x - 15) / (x - 3)

    By factoring

    (x - 3) (x + 5) / (x - 3)

    Cancelling out terms

    x + 5

    The width is 5 inches wider
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