Answer: Since x2=6, the width of the rectangle is x-6.
Explanation: factor x^2-4x-12.
given that length=x+2 and area of rectangle = length * width
all you have to do is find the width
there are several way to do this, here is one:
Since one factor of x^2-4x-12 is x+2, x1=-2 is a solution to x62-4x-12=0 so in order to find the other solution, you can use the sum and product properties.
x1*x2= -12 with x1=-2, so x2=6.
Since x2=6, the width of the rectangle is x-6.
