Consider the collection of different squares which may be formed by sets of four points chosen from the 12 labelled
points in the diagram on the right. For each possible area such a square may have, determine the number of squares which have this area. Make sure to explain why your list is complete.
https://cdn.artofproblemsolving.com/attachments/b/a/faf00c2faa7b949ab2894942f8bd99505543e8.png combinatoricscombinatorial geometry