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geometry junior

Problem

Suppose a square piece of paper is folded in half vertically. The folded paper is then cut in half along the dashed line. Three 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?
problem
(A)
(B)
(C)
(D)
(E)
Solution
From here on, a blue line represents a cut, the dashed line represents the fold. From the diagram, we can tell the perimeter of one of the small rectangles is and the perimeter of the large rectangle is . The desired ratio is
Final answer
E