Question

The area of a rug is represented by the following expression, z2 + 4x – 12 , which of the following expressions

represents the width of the rug if the length is I +6.
x - 6
x+2
x-2
x+6

Answer 1

Width = (x-2)

Explanation:

The area of a rug is given by
`(x^2+4x-12)`

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 :

`A=lb\\\\x^2+4x-12=(x+6)b\\\\b=(x^2+4x-12)/((x+6))\\\\b=(x^2+6x-2x-12)/((x+6))\\\\b=(x(x+6)-2(x+6))/((x+6))\\\\b=((x+6)(x-2))/((x+6))\\\\b=(x-2)`

So, the width of the rug is (x-2). Hence, the correct option is (c).