Question

a rectangle has an area of x^2+x-6 and a width of x-2. what is the length of the rectangle? Please show work.

Answer 1

Since I know the area of the rectangle is x^2+x -6 all I need to do is factor the expression.

factored:

(x-2)(x+3)

so, the length is x+3

Answer 2

To find the length of the rectangle, simply use the formula l*w=a.

Plugging in our given info,

x^2+x-6=l*x-2.

To find the length, divide (x^2+x-6)/(x-2).

This will give you x+3. Therefore, the length of the rectangle is x+3.

Check:

(X+3)(x-2)=x^2+x-6