∵四边形ABCD是矩形,∴∠ABC=90°,AO=OC,BO=OD,AC=BD,∴AO=CO=BO=DO,即△AOB、△ADO、△DOC、△BOC的面积相等,∵AB=0.6,BC=0.8,∴S矩形ABCD=0.6×0.8=0.48,∴△AOB的面积是 1 4 ×0.48=0.12,故答案为:0.12.