2026 CCHMS P1 Q20

A map is drawn to a scale of \(1:50000\).

1. On the map, the distance between two towns is 40 cm.
   Find the actual distance, in kilometres, between the two towns.[1]
2. A plantation has an actual area of \(3.6\text{ km}^2\).
   Find the area, in square centimetres, representing the plantation on the map.[2]
3. On a second map, the same plantation in part (b) is represented by an area of \(6.4\text{ cm}^2\).
   The scale of the second map is \(1:k\). Find the value of \(k\).[2]