Comparing squared rectangles by tiling area is helpful for many things you might want to do with square tiling. Tilings with the same area may be able to translate into each other if the elements are all the same size. Isomers and disjoint n-tuples can also be identified from a squared rectangle area listing.
format; (width+height) (width-height) (widthxheight) (width/height) order width height e1 e2 e3 ... en (elements in bouwkamp code order);
for example
65 1 1056 1.03 9 33 32 9 10 14 8 1 7 4 18 15