The rectangle below has an area of x^2-4x-12x 2 - 4x-12x, start superscript, 2, end superscript, minus, 4, x, minus, 12 square meters and a length of x+2x+2x, plus, 2 meters. what expression represents the width of the rectangle?

Given that the area of the rectangle is given by A=x^2-4x-12, the possible length and width will be found by factorizing the equation.

thus

A=x^2-4x-12

A=x^2+2x-6x-12

A=x (x+2) - 6 (x+2)

A = (x-6) (x+2)

The since:

(x+2) < (x-6)

then the:

length will be (x+2)

width will be (x-6)