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## 'Overlap' printed from http://nrich.maths.org/

A red square and a blue square of side **$s$** are overlapping so that the corner
of the red square rests on the centre of the blue square.

Show that, whatever the orientation of the red square, it covers
a quarter of the blue square.

If the red square is smaller than the blue square what is the
smallest length its side can have for your proof to remain
true?

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