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MathNet 2019-part-02 — 184 problems (EN–VI) Question 22

Math Olympiad Vault · MathNet 2019-part-02 — 184 problems (EN–VI)

Question 22

A company's logo is to be created by overlapping an equilateral triangle and a square, as in the figure. If the side of the triangle measures $12~\mathrm{cm}$ and each side of the triangle meets a side of the square at its midpoint, what is the difference between the overlapping (dark) area and the sum of the non-overlapping (light) areas?
Question illustration