A square piece of paper, 12 inches on a side, is folded in half vertically. The folded paper is then cut into three strips such that the two outer strips are of equal width, and the middle strip is twice the width of an outer strip. The two outer strips form the small rectangles, and the middle strip forms the large rectangle. What is the ratio of the perimeter of one of the small rectangles to the perimeter of the large rectangle?