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MathNet 2009-part-01 — 175 problems (EN–VI) Question 5

Math Olympiad Vault · MathNet 2009-part-01 — 175 problems (EN–VI)

Question 5

Determine whether it is possible to divide a square of side $11$ into the following $5$ pieces: a square of side $1$ and four rectangles whose dimensions are $8$ distinct integers greater than $1$. What if the square to be divided has side $10$?