Got a fresh cup of coffee but it's not doing much good.
I like quiltedsunshine's approach. Helps me with my numbers, from the "count the rows" that I did, for 1" added, I get 106 square -- which is maybe more your idea of kingsized. I general figure 3 yards square wihich is 108.
Still not sure on whether or not my technique would result in a square or a rectangle...