You will have seen the tangram we have each month in World of Tan (if not, take a look!) where the square is divided into 7 different shapes. This problem is also based on a tangram, but the square is cut into only 2 pieces:

If you split the square into these two pieces, it is possible to fit the pieces together again to make a new shape.

If you must match whole sides to each other so that the corners meet, how many new shapes can you make?
Watch out for shapes which are really the same but just turned round or flipped over.