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MathNet 2009-part-03 — 175 problems (EN–VI) Question 78

Math Olympiad Vault · MathNet 2009-part-03 — 175 problems (EN–VI)

Question 78

Two regular polygons with the same number of sides have sides $48~\mathrm{cm}$ and $55~\mathrm{cm}$ in length. What is the length of one side of another regular polygon with the same number of sides whose area is equal to the sum of the areas of the given polygons?