A square piece of paper, 4 inches on a side, is folded in half vertically. Both layers are then cut in half parallel to the fold. Three new rectangles are formed, a large one and two small ones. What is the ratio of the perimeter of one of the small rectangles to the perimeter of the large rectangle
Answer Choices
A. \dfrac{1}{3}
B. \dfrac{1}{2}
C. \dfrac{3}{4}
D. \dfrac{4}{5}
E. \dfrac{5}{6}