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Prof Smudge says:

This involves basic knowledge about area - plus a flash of insight that can come at any time.

Imagine rotating the squares. Does the result still hold? What happens with these special cases?

Send your solution/comments to
info@mathsmed.co.uk

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a high-res pdf file of this GEO task

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MATHEMATICS TEACHING readers:
The link given in MT 232 can be found here