Te perimeter of a rectangleular backyard is 6x+6 yeards. If the width is x yards, find a binomial that represents the length.

would it be..
(6x+6)/x division?

what do you know about a perimeter?

perimeter = 2*width + 2*length
width=x
lenght=l
perimeter=2x+2l

equate it to what you already know about the perimeter, given as 6x+6 yards:

*2x+2l=6x+6

now solve for l, and it will give you the length in terms of x