1. What are Scale Diagrams and Maps?
We use the scale as a factor that helps us get the actual measurements (lengths) of very large or tiny objects from their drawings.
Scale diagrams and maps are diagrams and maps that use some scale to precisely represent bigger or smaller objects or paths.
A scale of 1 mm : 100 m means that 1 millimetre on the drawing is actually 100 metres.
If there are no units mentioned in the scale it means we can use any units on both sides.
For example, a scale of 1 : 10 means 1 metre : 10 metres or 1 cm : 10 cm etc.
Example 1:
The scale on the map of country A is 1 cm : 150 km. Find the distances used on the map to represent:
- 300 km
- 900 km
- 1200 km
Example 2:
The plan of a garden is drawn below to a scale of 1 cm : 3 m. Calculate the actual area of the garden. [Area of rectangle = length × breadth]
Example 3:
The scale 16 cm represents 8 km can be written in form 1 : k.
Find the value of k.
