Dragons forward Samme Givens added 12 points and 12 rebounds.
Drexel led 27-17 at halftime and the Monarchs never got closer than eight points after that.
The Dragons meet the winner of VCU and George Mason.
Follow Sunday's college basketball action on our College Basketball Sunday StoryStream. For more on the CAA men's basketball tournament 2012, be sure to check out this SB Nation DC StoryStream. Meanwhile, SB Nation's college basketball hub will have all the news and nuggets you need in preparation for March and the madness it brings.