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MathNet 2024-part-04 — 168 problems (EN–VI) Question 55

Math Olympiad Vault · MathNet 2024-part-04 — 168 problems (EN–VI)

Question 55

A rectangular sheet of paper is folded so that one corner lies on top of the corner diagonally opposite. The resulting shape is a pentagon whose area is $20\%$ one-sheet-thick, and $80\%$ two-sheets-thick. Determine the ratio of the two sides of the original sheet of paper.