Bundeswettbewerb Mathematik 1976 Problem 1.2
Source: Bundeswettbewerb Mathematik 1976 First round
September 11, 2022
geometryareaquadratilateral
Problem Statement
Each of the two opposite sides of a convex quadrilateral is divided into seven equal parts, and corresponding division points are connected by a segment, thus dividing the quadrilateral into seven smaller quadrilaterals. Prove that the area of at least one of the small quadrilaterals equals 1\slash 7 slash of the area of the large quadrilateral.