How many Rectangles?

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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About webmaths

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.
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