平行四边形面积=16*9=144
S△ABC=S△ACD=16*9/2=72
BF=(3/4)AB=3FC
S△ABF=3S△AFC S△BOF=3S△FOC
所以S△ABO=3S△AOC
AE=2/3AB=2BE
SABO=(3/2)△S△AOE
S△AEC=(2/3)S△ABC
所以S△AOC=1/3S△ABO=1/3*(3/2)△S△AOE
=(1/2)S△AOE=(1/3)S△AEC
=(2/9)SABC
=2/9*72=16
因此四边形EBFO的面积=S△ABC-S△AEC-S△AFC+S△AOC
=72-72*2/3-72*1/4+16
=72-48-18+16
=22平方厘米