Map Scale Calculations Involving Distance and Area

Map Scale Calculations Involving Distance and Area

Secondary 2

The Circle Line is the fourth MRT line in Singapore. This underground line is \(35.7\) km long. It is represented by \(7.14\) cm on Map \(A\).

  1. Express the map scale in the form \(1:n\).
  2. Downtown Line, the fifth MRT line, is represented by \(0.86\) cm on the same map.
    Find its length on Map \(B\) with the scale of \(1:20\,000\).
  3. Kim Chuan SMRT Depot is an underground depot that houses the trains for the Circle Line and Downtown Line. It has an area of \(2.5\) cm\(^{2}\) on the map \(B\). What is the actual area of the depot in km\(^{2}\)?

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Answer:\(\text{(a)}\ 1:500\,000\) \(\text{(b)}\ 21.5\text{ cm}\) \(\text{(c)}\ 0.1\text{ km}^2\)

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