# 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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