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MathNet 2008-part-03 — 165 problems (EN–VI) Question 8

Math Olympiad Vault · MathNet 2008-part-03 — 165 problems (EN–VI)

Question 8

If one of the sides of a square is increased two times and the other one is increased by $22\text{ mm}$, then the new rectangle has a perimeter that is $2000\text{ mm}$ greater than the perimeter of the square. What is the side length of the square?