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Unit Conversion, SM-Bank 022

  1. By considering the dimensions of a square with an area of 1 square kilometre, complete the unit conversion equation below:

1 km² = _______ m  ×  _______ m = ____________ km²   (1 mark)

  1. A rural property is in the shape of a rectangle with sides of length 1.20 kilometres and 2.36 kilometres.
  2. Find the area of the property in square kilometres and using the conversion equation, express the area in square metres.  (2 marks)
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a.    \(1\ \text{km}^{2} = 1000\ \text{m}\ \times\ 1000\ \text{m}\ = 1\ 000\ 000\ \text{km}^{2} \)

b.    \(2\ 832\ 000\ \text{m}^{2}\)

Show Worked Solution

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

b.    \(\text{Area}\) \(= 1.20 \times 2.36\)  
  \(=2.832\ \text{km}^{2}\)  
  \(=2.832 \times 1\ 000\ 000\  \text{m}^{2}\)  
  \(=2\ 832\ 000\ \text{m}^{2}\)