Tiling Into Slanted Rectangles
This is seen as a possible follow on from Tiles in the Garden.
This activity takes "Tiles in the Garden", much further. We can keep the main ideas the same -
- Square tiles
- A corner of a tile at each corner of the rectangle
- The ability to slice a tile into parts so as to use each part
So this one used $26$ and the slope was generated by going along $1$ and up $5$.
This time let's put on a limit of using less than $100$ tiles.
What sizes of rectangles could be filled obeying the three rules?
How many tiles for each rectangle you find?
Are there any numbers of tiles between $10$ and $100$ for which there cannot be a rectangle?
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