S△BFC=4S△EFG=4 ,S△EFC=2S△EFG=2,∴S△BEC=6
S△AEB=1/2S△BED,S△AEC=1/2S△EDC,∴S△AEC+S△AEB=1/2S△BED+1/2S△EDC=1/2S△BEC=3
∴S△ABC=3+6=9