Challenges 11 - 20 . . .
No. 11, Square and Nonagon
No. 12, Square and Octagon
No. 13, Hexagon and Pentagon
No. 14, Hexagon and Rhomboid
No. 15, Parallelogram and Heptagon
No. 16, Square and Two Pentagons
No. 17, Two Squares and Hexagon
No. 18, Three Squares
No. 19, One Square, Diamond and
   Hexagon
No. 20, One Square, Triangle,
   Rhomboid and Pentagon
Working a puzzle for which you have no solution is tough . . . as well I know.  So here's a small hint to get you going.  This hexagon is *not* one of the prize-winning puzzles, but it could spark your interest in Hill's American Geometric Prize Puzzle.  Remember that all of the pieces came together to make this figure.  (And see No. 9 for an important clue ;)
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