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?

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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