Investigate how this pattern of squares continues. You could measure lengths, areas and angles.
A man paved a square courtyard and then decided that it was too small. He took up the tiles, bought 100 more and used them to pave another square courtyard. How many tiles did he use altogether?
Can you work out the area of the inner square and give an explanation of how you did it?
What shape rectangles can you draw and in how many ways can these be fitted?