Arne,
The trick to what you're trying to do is to stick (eg, Blu-Tack) a ruler to your table on its edge - this makes a nice fulcrum on which to balance your cut-out to see where its centre of area is. And you can use paper - just put a crease along the paper to stiffen it up.
HOWEVER, using the centre of area of the profile of your trailer isn't necessarily a good estimate of where the centre of gravity of the trailer will be, even if you ignore all the other weights like the tongue, the galley, the bulkhead, etc.
What you are doing here is assuming that the weight at any point is proportional to the height of the side wall, but in fact a lot of the weight (such as the floor and the roof) does not depend on the height of the side wall.
Sorry to rain on your parade

, 'cos it is a pretty technique - traditionally used for model aircraft.
Andrew