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Bundeswettbewerb Mathematik 1974 Problem 1.2

Source: Bundeswettbewerb Mathematik 1974 Round 1

October 12, 2022
geometryareapolygonsquare

Problem Statement

Seven polygons of area 11 lie in the interior of a square with side length 22. Show that there are two of these polygons whose intersection has an area of at least 1\slash 7.