Question 740997
we are given:

"a rectangular rug has area of 96 square feet. If its leng is 4 feet more than twice its with. find the dimension of the rug. has to use algebratic equatio" 

you are nearly there  :-)

l = 2w+4  and

(2w+4)*w=96  (area of a rectangle)

then we have

2w^2+4w-96=0

divide both sides of = sign by 2 and we get

w^2+2w-48=0

the above factors into

(w+8)*(w-6)=0

and we have two solutions for w, name -8 and 6

so w=6 and l=2*6+4=16