Algebraic Expressions, Identities and Formulae

A map is drawn to a scale of \(1:20\,000\).

1. The length of a running track is \(15\) cm on the map.

   Find the actual distance, in kilometres, of the running track.

   [1]

2. A park has an actual area of \(10\text{km}^{2}\).

   On another map, its area is represented by \(40\text{cm}^{2}\).

   Find the scale of this map in the form \(1:n\).

   [2]