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MathNet 1985 — Part 01 Question 37

Math Olympiad Vault · MathNet 1985 — Part 01

Question 37

Given a large sheet of squared paper, show that for $n \gt 12$ you can cut along the grid lines to get a rectangle of more than $n$ unit squares such that it is impossible to cut it along the grid lines to get a rectangle of $n$ unit squares from it.