01 Practical geography
Maps, scales and area
Read this lesson
What you should be able to do
- Convert map scales and measure distance
- Apply reduction, enlargement and area scales
Understand it
A map represents selected features of an area using symbols and a scale. Topographical maps show relief and human features; thematic maps focus on a subject such as rainfall or population. Read the title, key, orientation, scale and date before interpreting the detail.
A representative fraction such as 1:50,000 uses the same units on both sides: 1 cm represents 50,000 cm, or 0.5 km. A larger-scale map has a smaller denominator and shows more detail over a smaller area. Curved routes can be measured in short segments or with a suitable thread method.
When linear dimensions are doubled, area becomes four times as large. Reducing a 1:50,000 map to half its linear dimensions produces 1:100,000. A bar scale remains proportional when the whole map is resized with it, but a printed numerical scale must be recalculated.
Work through an example
At 1:50,000, two places are 6 cm apart. Find ground distance.
Explanation: 6 × 50,000 = 300,000 cm = 3 km. Convert centimetres to kilometres by dividing by 100,000.
Watch out: Area conversion squares the linear scale factor; do not use the distance factor alone.
2 practice questions with answers
Try each question before opening its answer. These are original CampusNinja practice questions.
Question 1
Which is the larger scale?
Show answer and explanation
Answer C: 1:25,000
At 1:25,000, 1 cm represents 25,000 cm, or 250 m, on the ground. That is less ground per map centimetre than the other options, so a feature appears larger and can show more detail. A smaller scale denominator means a larger map scale.
Question 2
A map enlarged to twice its length and width has an area
Show answer and explanation
Answer A: Four times as large
Both dimensions double, so the area factor is 2 × 2 = 4. For example, a 3 cm by 2 cm rectangle has area 6 cm²; enlarged to 6 cm by 4 cm, it has area 24 cm². Doubling one dimension alone would only double the area.