[header] How to decorate an oddly shaped living room [title] Connect your seating furniture by placing them on a large rug. [step] Place a large rug on the floor of your living room, which should run vertically down one of the rectangular pieces of your l-shape. This will connect your couches, chairs, and loveseats. 
Position one couch on the south end of the carpet and another along the west end a bit to the south, perpendicular to the first couch. Place a loveseat facing the carpet inward from the northeast corner (diagonal from the corner that your two couches intersect at).