The L-shape puzzle can be solved using math, or by just sketching out the diagram with a pencil and paper. Can you solve the L-shape puzzle? You have an L-shape that is two units tall, and two units long. If you imagine this as a square, there is a one unit by one unit square missing in order to make an L-shape. You must divide this L into four equal pieces. All four pieces must be the same shape and size. How do you cut up this shape?