There turned out to be more “different” rectangles than I first thought (40). Below is a table of my results. I wonder if I have them all?

**Rectangles Used** |
**Length x Width** |
**Area** |

1 Green |
5 x 1 |
5 |

1 Pink |
3 x 2 |
6 |

1 Blue |
4 x 2 |
8 |

1 Red |
3 x 3 |
9 |

2 Green |
10 x 1 |
10 |

2G |
5 x 2 |
10 |

2P |
6 x 2 |
12 |

2P |
4 x 3 |
12 |

1P + 1B |
7 x 2 |
14 |

1P + 1R |
5 x 3 |
15 |

2B |
4 x 4 |
16 |

2B |
8 x 2 |
16 |

2G + 1P |
8 x 2 |
16 |

2R |
6 x 3 |
18 |

2G + 1B |
9 x 2 |
18 |

1G + 1P +1R |
5 x 4 |
20 |

2P + 1B |
10 x 2 |
20 |

2G + 2P |
11 x 2 |
22 |

1P + 2B |
11 x 2 |
22 |

1P + 2R |
8 x 3 |
24 |

2G + 1P + 1B |
12 x 2 |
24 |

2G + 1P + 1R |
5 x 5 |
25 |

2G + 2B |
13 x 2 |
26 |

1G + 1P + 1B + 1R |
7 x 4 |
28 |

2P + 2B |
14 x 2 |
28 |

2G + 2P + 1B |
6 x 5 |
30 |

2G + 2P + 1B |
15 x 2 |
30 |

2G + 2P + 1B |
10 x 3 |
30 |

2G + 1P + 2B |
16 x 2 |
32 |

1G + 2P + 2R |
7 x 5 |
35 |

1G + 1P + 2B + 1R |
9 x 4 |
36 |

2G + 2P + 2B |
19 x 2 |
38 |

2G + 2P + 1B + 1R |
13 x 3 |
39 |

1P + 2B + 2R |
8 x 5 |
40 |

2G + 2P + 2R |
10 x 4 |
40 |

2G + 2P + 1B + 2R |
8 x 6 |
48 |

2G + 2P + 1B + 2R |
12 x 4 |
48 |

2G + 2P + 1B + 2R |
16 x 3 |
48 |

All |
8 x 7 |
56 |

All |
14 x 4 |
56 |

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I have been teaching Mathematics in Victorian secondary schools for 30 years. I use the www to make my maths lessons better. I hope this blog will give other teachers some ideas to try in their own classes.