Question

A map is drawn to a scale of 1:1000000.A forest on the map has an area of 4.6cm². Calculate the actual area of the forest in square kilometres.

Answer 1

Solution:-
Given : scale of map = 1 : 1000000
1 cm represents to 1000000 cm on the ground.
Therefore,
1 cm × 1 cm = 1 cm² (on the map)
And, 1000000 cm × 1000000 cm = 1000000000000 cm² (on the ground)
1 km = 100000 cm × 100000 cm = 10000000000
So, the area on the ground = 1000000000000/10000000000
= 100 sq km
As the area of the forest on the map is 4.6 cm².
So, the actual area of the forest = 100 × 4.6
= 460 sq m
Answer.