We want to find the maximum area of two disjoint, simply connected, congruent tiles that can be packed inside a right triangle, one of whose angles is \( \pi/6 \) (30 degrees). What would be the maximal coverage of the right triangle by the tiles? (There is no restriction on the shape of the tiles, especially it does not need to be rectangular, as long as they are simply connected.) (4 points will be given to the one with the best answer, and 3 points for the next four best answers.)