TOT 005 1980 Spring J5 S5 regions by line segments of length 18, area
Source:
August 16, 2019
combinatorial geometrycombinatoricsareasquaregeometry
Problem Statement
A finite set of line segments, of total length , belongs to a square of unit side length (we assume that the square includes its boundary and that a line segment includes its end points). The line segments are parallel to the sides of the square and may intersect one another. Prove that among the regions into which the square is divided by the line segments, at least one of these must have area not less than .(A Berzinsh, Riga)