Sam Loyd created a famous dissection puzzle by cutting a square into five pieces as shown...

Sam Loyd created a famous dissection puzzle by cutting a square into five pieces as shown in the following figure.

Research Loyd’s puzzle and explain his rationale for the cuts he made. Cut your own set of pieces out of cardboard. Show how to arrange them to form a triangle and a rectangle. Then create a new dissection puzzle of your own by cutting a square into six pieces. Form two geometric shapes and challenge a friend to solve your puzzles.