The length of rectangle is 2 meters more than its width . the area of the rectangle is 80 square meter . what is the length and width of the rectangle

Let the width of the rectangle be x
then the length is x+2
we are given the area as 80 square meter
and we know the area of a rectangle is given by
area=L*W
area=(x+2)*x
but our area=80
80=(x+2)*x
x^2+2x=80
x^2+2x-80=0
we use the quadratic formula to solve this which gives us
x=8
therefore our width is 8
and our length is 10