Question 176771
Let's call the width of the rectangle w.  Then if the length is 2 cm more than twice the width, the length can be represented by 2w+2.  Remembering that perimeter is 2L+2W, we have that
46 = 2(2w+2) + 2w
46 = 4w + 4 + 2w
46 = 6w + 4
42 = 6w
7 = w
So the width of the rectangle is 7 cm, and since the length is 2w+2, we have that the length is 2(7)+2 = 16 cm.