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