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MathNet 2003 — Part 01 Question 34

Math Olympiad Vault · MathNet 2003 — Part 01

Question 34

There are 83 rectangles with whole sides. None of them are a square and none of them have area $8$. With these rectangles you can form $23$ squares of $4 \times 4$, without gaps or overlaps, and without leftover pieces. Decide if the $83$ rectangles can be used to form $4$ equal rectangles, without gaps or overlaps, and without leftover pieces.