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This activity investigates how you might make squares and pentominoes from Polydron.

Tiles on a Patio

How many ways can you find of tiling the square patio, using square tiles of different sizes?

My New Patio

What is the smallest number of tiles needed to tile this patio? Can you investigate patios of different sizes?


Age 7 to 11 Challenge Level:
Try starting a square on one of the edge pegs. Look at all the other pegs in turn - could you use that peg as the second corner of a square?
Can you make a square whose edges aren't parallel to the rows or columns of pegs?