(1)△ABC中,∵a=1,b=2,cosC= 1 4 ,∴c2=a2+b2-2ab?cosC=4,∴c=2.∴△ABC的周长为 a+b+c=5.(2)∵cosC= 1 4 ,∴sinC= 15 4 ,∴△ABC的面积为 1 2 ?a?b?sinC= 15 4 .