Congruence and Similarity - Map Scales

The map of a town is drawn to a scale of \(1 : n\). A school in the town has an area of \(10\text{ km}^2\) and measures \(40\text{ cm}^2\) on the map.

1. Find the value of \(n\).

   [2]

2. Find the actual length of the road if its map length is \(7.5\text{ cm}\).

   [1]