Answer:
Width = (x-2)
Step-by-step explanation:
The area of a rug is given by [tex](x^2+4x-12)[/tex]
The length of the rug is (x+6)
We need to find the width of the rug.
The area of a rug is given by :
[tex]A=lb\\\\x^2+4x-12=(x+6)b\\\\b=\dfrac{x^2+4x-12}{(x+6)}\\\\b=\dfrac{x^2+6x-2x-12}{(x+6)}\\\\b=\dfrac{x(x+6)-2(x+6)}{(x+6)}\\\\b=\dfrac{(x+6)(x-2)}{(x+6)}\\\\b=(x-2)[/tex]
So, the width of the rug is (x-2). Hence, the correct option is (c).
