Area and Distance Calculations from a Map Scale

Area and Distance Calculations from a Map Scale

TGM Original

An area of \(4\) cm\(^{2}\) on a map represents an actual area of \(0.36\) km\(^{2}\).

Calculate

  1. the actual area in square kilometres represented by \(80\) cm\(^{2}\) on the map,
  2. the scale of the map in the form \(1:n\),
  3. the distance on the map in centimetres which represents an actual distance of \(6\) km.

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Answer:\(\text{(a)}\ 7.2\text{ km}^2\) \(\text{(b)}\ 1:30\,000\) \(\text{(c)}\ 20\text{ cm}\)

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