Find the width of the rectangle if it's area is (3x^2 + 9xy + 6y^2) square centimeters

3x + 6y cm is at the top of the rectangle p

The area of a rectangle is given by:

area=length*width

this implies that the width will be given by:

width = (area) / (length)

area = (3x^2+9xy+6y^2)

length = (3x+6y)

thus;

width = (3x^2+9xy+6y^2) / (3x+6y)

=[ (3x+6y) (x+y) ] (3x+6y)

= (x+y) units