I'm in the process of creating a visual model of a product made using 2D CAD software. The .svg which I have imported into blender is the file sent to a laser cutter which would out cut across an acrylic sheet wherever there is a path in order to form the shape.
I was wondering if there is a way of cutting the plane such that the result would be similar to what would be carried out by the laser cutter (imagine the resultant shape being cut out of plane using a knife with runs along the path, if that makes sense)
I've tried to use the Boolean modifier to achieve the effect I am looking for but with limited success. It only seems to cut out a small section of the design for reasons which I do not understand:

