Perkins also grabbed 12 rebounds as the Celtics ran their winning streak to five straight games. Kevin Garnett added 16 points, including four during a 9-2, first-quarter run that put Boston up 27-12.
The Celtics never looked back and won for the 15th time in 20 games against the Bobcats.
Allen hit a 3-pointer at the first-half buzzer, pushing the Celtics to a hefty 62-39 lead going into the locker room.
Charlotte's four-game winning streak was snapped by the loss. The Bobcats were led by Nazr Mohammed's 16 points, while Raymond Felton had 14 and Boris Diaw 13 in the loss.
Notable deaths of 2014 [PHOTOS]