Worked example
The same 12 ft 6 in by 15 ft bedroom, but the diagonals read 19 ft 5½ in and 19 ft 7 in: 1½ in apart. Worked through, the far end of each 15 ft wall is about 1⅛ in out of square, and the far end of each 12 ft 6 in wall about 1 in. A bed won't notice. A run of wall cabinets will. The longer diagonal runs between the two corners that are tighter than 90°.

