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There are an infinite number of them. Here are a list of twenty different ones:

Each one is 10cm2 of area:

1/3 cm x 3cm

2/3 cm x 15cm

1cm x 10cm

1.2cm x 81/3 cm

1.25cm x 8cm

11/3 cm x 7.5cm

1.4cm x 71/7 cm

1.5cm x 62/3 cm

1.6cm x 6.25cm

12/3 cm x 6cm

1.75cm x 55/7 cm

1.8cm x 55/9 cm

2cm x 5cm

2.25cm x 44/9 cm

21/3 cm x 42/7 cm

2.5cm x 4cm

22/3 cm x 3.75cm

2.75cm x 37/11 cm

2.8cm x 34/7 cm

3cm x 31/3 cm

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Q: How many rectangles can you draw with an area of 10cm2?
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