MathDB

A square is partitioned in

n^2\geq 4

rectanles using

2(n-1)

lines,

n-1

of which,are parallel to the one side of the square,

n-1

are parallel to the other side.Prove that we can choose

2n

rectangles of the partition,such that,for each two of them,we can place the one inside the other (possibly with rotation).

Problem Statement