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Inside Seven Squares

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

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.
seven squares set inside each other
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