Problem #PRU-35149

Problemas Geometría Geometría plana Inequaciones geométricas Inequaciones de área Métodos Métodos algebraicos Particiones en pares y grupos; biyecciones Principio del casillero Principio del casillero (área y volumen)
 13–15  3.0

Problem

In a square which has sides of length 1 there are 100 figures, the total area of which sums to more than 99. Prove that in the square there is a point which belongs to all of these figures.