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MathNet 2018-part-02 — 181 problems (EN–VI) Question 70

Math Olympiad Vault · MathNet 2018-part-02 — 181 problems (EN–VI)

Question 70

Marko has drawn a rectangle with two blue sides of length $24$ and two red sides of length $36$. He coloured each point in the interior of the rectangle in the colour of the side closest to that point. He also coloured in black all points equally distant from a blue and red side. Determine the area of the red part of the rectangle.