Progressive ratio

Geometry Level 3

\(ABCD\) is a square of side length 1. Points \(E, F, G, H \) are such that \( AE : EB = 1:1\), \( BF: FC = 1 : 2 \), \( CG : GD = 1 : 3 \), \( DH : HA = 1 : 4 \).

What is the area of the quadrilateral \( EFGH \)?

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