Here is an 8 by 8 square that has been divided into four pieces:

Here is a rectangle made from the same four pieces:

*You might like to try cutting out the shapes from a piece of paper.*

Can other squares be split up and rearranged to make rectangles with a different area?

Are there other square/rectangle pairs where the areas differ by 1 square unit?

Is there a pattern in the sizes of squares that can be arranged in this way?