TOT 373 1993 Spring A S1 sum of perimeters >1993, square grid
Source:
June 10, 2024
combinatoricscombinatorial geometrygeometryperimeter
Problem Statement
Inside a square with sides of length unit several non-overlapping smaller squares with sides parallel to the sides of the large square are placed (the small squares may differ in size). Draw a diagonal of the large square and consider all of the small squares intersecting it. Can the sum of their perimeters be greater than ?(AN Vblmogorov)