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MathNet 2010 — Part 07 Question 70

Math Olympiad Vault · MathNet 2010 — Part 07

Question 70

A rectangular piece of paper is folded along its diagonal (as depicted below) to form a non-convex pentagon that has an area of $\frac{7}{10}$ of the area of the original rectangle. Find the ratio of the longer side of the rectangle to the shorter side of the rectangle.

Question illustration