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MathNet 2026 — Part 02 Question 199

Math Olympiad Vault · MathNet 2026 — Part 02

Question 199

Almost square rectangle - a rectangular terrain is almost square: its width and length are whole numbers of meters that differ exactly from 1 meter. The area of the land, in square meters, is a number of 4 digits, with the units of thousands and the same hundreds, and the same occurs with the tens and the units. What are the possible dimensions of the terrain?