Map Scale: Area and Distance Conversions

An area of \(4\) cm\(^{2}\) on a map represents an actual area of \(2.25\) km\(^{2}\).

Calculate

1. the area on the map, in square centimetres, which represents an actual area of \(27\) km\(^{2}\).
2. the actual distance, in kilometres, represented by a length of \(7.5\) cm.
3. the scale of the map, in the form \(1:n\).