|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.
|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.
|21.||Use the full set of 12 pentominoes to fill a 6 by 10 rectangle.|
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