a) Are there rectangles $1\times \dfrac12$ rectangles lying strictly inside the interior of a unit square? b) Find the minimum number of equilateral triangles of unit side which can cover completely a unit square. Laurențiu Panaitopol
Source: Romanian TST 1979 day 2 5
Tags: combinatorial geometry, combinatorics
a) Are there rectangles $1\times \dfrac12$ rectangles lying strictly inside the interior of a unit square? b) Find the minimum number of equilateral triangles of unit side which can cover completely a unit square. Laurențiu Panaitopol