Where does the QR geometry come from?
If it's a datum curve, then to use it to make a solid protrusion it can't be self intersecting and I think it can't share corners.
Each vertex in a typical solid sketch must have two and only two segments attached to it. The exception is for thin extrusions.
However, you can extrude curves that share corners as a surface, with capped ends, and then select Solidify.
