Congruence and Similarity - Map Scales

Congruence and Similarity - Map Scales

IP 1

A forest reserve of \(125\) \(\mathrm{km}^2\) is shown on a drone map by an area of \(5\) \(\mathrm{cm}^2\).

  1. Find the scale of the drone map in the form \(1:n\).
  2. Find the length of a river on the map with an actual length of \(7.86\) km. Correct your answer to \(3\) significant figures.
  3. Find the actual area of a campsite if its area on the map is \(1.2\) \(\mathrm{cm}^2\).

Solution:

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Answer:(a) \(1:500\,000\). (b) \(1.57\) cm. (c) \(30\text{ km}^2\).

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