Question

Algebra Help Please

Moira buys a new rectangular rug that is 3 inches shorter than her old rectangular rug. The area of the new rug is (x2 + 2x - 15)in2.



Describe the width of Moira’s new rug in terms of the length of her old rug.



Moira’s new rug is (blank) inches (blank) than the length of her old rug.



Choices 7, 5, 0, 15 | Narrower, Wider

Answer 1

5 in wider is right

Explanation:

Answer 2

5 inches wider

Explanation:

The given area expression factors as ...

x² +2x -15 = (x -3)(x +5)

Apparently, we're to assume that these factors represent length times width, and the factor x-3 corresponds to a length that is 3 inches shorter than the old length (x). Then the width is (x+5), which is 5 inches wider than the old length.