Progressive ratio

Geometry Level 3

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

What is the area of the quadrilateral EFGH EFGH ?

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