Some polyominoes can be used to tile rectangles. For example, here is the smallest rectangle that can be tiled by the bent tromino:

- The L, P and Y pentominoes can each tile a rectangle. What is the smallest possible such rectangle? Show each tiling on grid paper.
- Tile a 3 by 5 rectangle with:
- U and X
- V and Z

- Tile a 4 by 5 rectangle with:
- T and Y
- U and N
- V and F
- V and N

- Tile a 5 by 5 square with:
- X and Y
- Y and Z
- Y and F
- L and X

- Tile a 3 by 10 rectangle with:
- U and Y
- U and F

- Find the smallest rectangle that can be tiled with
- Y and N.
- T and N.
- T and W.

This figure shows a rectangle tiled with a single F pentomino, and many P's:

- What is the smallest rectangle you can tile with a single one of each of the pentominoes, and as many P's as you want?

This is an extension of page 27 in

*Polyomino Lessons.*