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MathNet 2020 — Math Olympiad Vault — Part 04 Question 93

Math Olympiad Vault · MathNet 2020 — Math Olympiad Vault — Part 04

Question 93

Cutting an A4 sheet exactly in half along a line parallel to its shorter side produces two rectangles of the same shape as the original, obtainable by rotation and scaling. Call a rectangular sheet “contemporary” if cutting it into 2020 equal parts by cuts parallel to its shorter side produces 2020 rectangles similar to the original. If its short side is 1, how long is the other side?
(A) $\sqrt{2020}$
(B) $2020^{3/2}$
(C) $2021/2$
(D) $2020$
(E) None of the above