Inscribing Boxes One After Another

Geometry Level 2

\[\huge {\boxed {\boxed {\boxed {\boxed {\boxed {\boxed {\cdots}}}}}}}\]

The figure above is made of infinite squares. Every inscribed square's diagonal is Half the diagonal of the circumscribing square. What is the total area of all squares?

Clarification: The figure shown above shows infinite squares incribed inside one another, with the diagonal of each inscribed square being half of the square outside it.

The area of the largest square is 1 unit.

Note: Figure not drawn to scale.


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