Best way to tear up half a concrete parking pad?
The only way to do what you want to do is cut the concrete with a gear driven saw and masonry blade, then jack hammer out the rest of the concrete.  It really is not that difficult and you can rent all the equipment and do it in a day easy.  You don't have to cut all the way through the concrete, but at least 1/3 the way through. it should break off cleanly.  Even a small DeWalt hand held jack hammer will do the job, take a bit longer than a larger rental unit.