The rectangle below has an area of x^2 - 4x - 12square meters and a length of x +2 meters. what expression represents the width of the rectangle? width = meters

The area is the product of length times width.  If you know the area and the length, you can find the width by dividing the area by the length.

Divide x+2 into x^2 - 4x - 12.  In your shoes I would use synthetic division, but long division would work fine also.  please show your work; if you do, I'll comment on it.