Suppose that n polygons of area s=(n−1)2 are placed on a polygon of area S=n(n−1)22. Prove that there exist two of the n smaller polygons whose intersection has the area at least 1.
Source: Romania TST 1995 Test 2 P2
Tags: geometry, geometry proposed
Suppose that n polygons of area s=(n−1)2 are placed on a polygon of area S=n(n−1)22. Prove that there exist two of the n smaller polygons whose intersection has the area at least 1.