What is the fewest number of pieces a perfect 5x5 square should be dissected into in order the obtained pieces could be re-arranged to make both a 4x4 and a 3x3 square?
Explanations
4 pieces.
One piece is 3x3 - the ready square.
Three more pieces: 1x2, 2x3, 2x4 are then arranged into the 4x4 square.
The entire solution is shown in the diagram.