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Coordinate Jiang' an formula
Solution: As shown in the figure:

∵ rectangle AD4C 1B, parallelogram ACDB, parallelogram AC 1D 1B, parallelogram AD5CB, with 1 totally identical.

And square ACBC3,

There are also four parallelograms: AD4BD2, C2AC 1B, AD2BD5 and ADBC4. Take AB as the diagonal.

There are 13 parallelograms with an area of 2.

Therefore, choose: d.