Area problem

Geometry Level 3

ABCDABCD is a square with points EE and FF lying on sides CDCD and AD,AD, respectively. If the purple area is [BHGI]=120,[BHGI]=120, what is the sum of the pink areas [AHF]+[FGED]+[ICE]?[AHF]+[FGED]+[ICE]?

Leonardo Joau by Leonardo Joau
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