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Unit Conversion, SM-Bank 012

The Google main campus in California covers an area of 137 500 square metres.

Using the conversion ratio, 1 hectare = 10 000 m², determine the area of the property in hectares.  (1 mark)

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\( 13.75\ \text{ha}\)

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\(\text{Area}\) \(= \dfrac{137\ 500}{10\ 000}\ \text{ha} \)  
  \(= 13.75\ \text{ha}\)  

Unit Conversion, SM-Bank 011

A property in Coonamble is in the shape of a rectangle with sides 1400 metres and 2200 metres in length.

Using the conversion ratio, 1 hectare = 10 000 m², determine the area of the property in hectares.  (2 marks)

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\( 308\ \text{ha}\)

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\(\text{Area}\) \(= 1400 \times 2200\ \text{m}^{2} \)  
  \(= 3\ 080\ 000\ \text{m}^{2}\)  
  \(= \dfrac{3\ 080\ 000}{10\ 000} \)  
  \(=308\ \text{ha} \)  

Area, SM-Bank 091

A walled city has a land area of 950 hectares.

Express the area of the city in square kilometres.  (2 marks)

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\(9.5\ \text{km}^2\)

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\(\text{1 hectare}\ = 10\ 000\ \text{m}^{2}\)

\(\text{950 hectares}\ = 950 \times 10\ 000 = 9\ 500\ 000\ \text{m}^{2} \)

\(\text{1 km}^{2}\ = 1000\ \text{m} \times 1000\ \text{m}\ = 1\ 000\ 000\ \text{m}^{2}\)

\(\text{950 hectares}\ = \dfrac{9\ 500\ 000}{1\ 000\ 000} = 9.5\ \text{km}^{2} \)

Area, SM-Bank 090

Jim has a hobby farm with an area of 7 hectares.

What is the size of Jim's farm in square metres.   (1 mark)

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\(70\ 000\ \text{m}^2\)

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\(\text{1 hectare}\ = 10\ 000\ \text{m}^{2} \)

\(\text{7 hectares}\ = 7 \times 10\ 000 = 70\ 000\ \text{m}^{2} \)