Puzzle: Perfect rectangles, perfectly tiled with distinct squares, squaring the rectangle

. . .

Solutions to Perfect rectangles nrs 21 to 30

All solutions are found with backtracking. They are ordered by the length of the long side. Only original (simple) solutions have got a number.

====================== 99x96 ======================
At length of 99 we found 3 solutions, who all are 99x96 ! Coincidence?

Not origal, this is the 33x32 solution, multiplied by factor 3!

21. Original and also 99x96, with 19 squares
But compare this one with the previous image... the three largest squares are identical !

22. Another 99x96 rectangle, with 12 squares
This one is really different.

====================== 100x88 ======================

23. 100x88 rectangle, with 19 squares

====================== 101x91 ======================

24. 101x91 rectangle, with 17 squares

====================== 103x72 ======================

25. 103x72 rectangle, with 16 squares

====================== 103x74 ======================

26. 103x74 rectangle, with 16 squares
The 1x1 piece is not used in this solution, upto this one found in 2005 or earlier

====================== 103x96 ======================

27. 103x96 rectangle, with 16 squares
The next four solutions are found in march 2007.

====================== 104x83 ======================

28. 104x83 rectangle, with 19 squares
Without 1x1 square.

====================== 104x91 ======================

29. 104x91 rectangle, with 21 squares

====================== 104x99 ======================

30. 104x99 rectangle, with 18 squares
Without 1x1 square.

The rest is still there to be discovered...
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