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MathNet 2007-part-02 — 187 problems (EN–VI) Question 114

Math Olympiad Vault · MathNet 2007-part-02 — 187 problems (EN–VI)

Question 114

3 rectangles are placed on a plane, and any 2 rectangles have their edges that are parallel to each other. They divide the plane into several parts. Determine the maximum possible number of such parts. (We consider the area that are contained in no rectangles as one part. For example, if we have only 1 rectangle, the plane is divided into 2 parts.)