| 16. | Find the complete solution to filling the 3 by 20 rectangle. If you need it you can get a hint. |
| 17. | A rectangle of area 40 squares can be filled with pentominoes. One way of doing this is in a 5 by 8 rectangle and one is shown on the right. Find another way of doing it in a 4 by 10 rectangle. |
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| 18. | If you solved the triplication problem [#8] for the I-pentomino then that created a 3 by 15 rectangle having an area 45 squares. Now find a way of filling a 5 by 9 rectangle which also has an area of 45 squares. |
| 19. | Find a way of filling a rectangle of area 50 squares. |
| 20. | Find a way of filling a rectangle of area 55 squares. |
| Using all 12 pentominoes to fill a rectangle can be done in 3 different ways. As a 3 by 20 rectangle; as a 5 by 12 rectangle; as a 6 by 10 rectangle. The 3 by 20 was done in problem #15 (above). One solution to the 5 by 12 (from among several thousand) is shown below. |
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| 21. | Use the full set of 12 pentominoes to fill a 6 by 10 rectangle. |
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