Question 50301
You are correct!!  I came up with the same answer:

P=2(length+width)
34=2[(2w+2)+w]
34=2[(2w+2)+w]
34=2[2w+2+w]
34=2[3w+2]
17=3w+2
17-2=3w+2-2
15/3=3w/3
5=w
.
Check by plugging (w=5) back into the original equation]
34=2[(2(5)+2)+(5)]
34=2[(2(5)+2)+(5)]
34=34 [Checks out]