Unit Conversion, SM-Bank 016

The square below has an area of 1 square metre.

1 m² = _____ cm × _____ cm = _______ cm² (1 mark)

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A circular playground has an area of 2000 square metres.
Using the conversion equation, or otherwise, express the area in square centimetres. (1 mark)

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a. \(1\ \text{m}^{2} = 100\ \text{cm}\ \times\ 100\ \text{cm}\ = 10\ 000\ \text{cm}^{2} \)

b. \(20\ 000\ 000\ \text{mm}^{2}\)

Show Worked Solution

a. \(1\ \text{m}^{2} = 100\ \text{cm}\ \times\ 100\ \text{cm}\ = 10\ 000\ \text{cm}^{2} \)

b. \(2000\ \text{m}^{2}\)	\(= 2000 \times 10\ 000\ \text{cm}^{2} \)
	\(= 20\ 000\ 000\ \text{cm}^{2} \)