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## 'Inside Seven Squares' printed from http://nrich.maths.org/

Seven squares are set inside each other. The centre points of each side of the outer square are joined to make a smaller square inside it and so on.

The centre square has the area of $1$ (one) square unit.

What is the total area of the four outside triangles which are outlined in red?

This problem is also available in French:

Les 7 carrés
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