The scale of a map is 1:300 000
Find the actual area of the village, in km^2, if the area on the map is 3cm^2
It tells us that 1cm on the map gives 300,000 cm in real life.
If we had a square of side length 1cm, it would correspond to a square of side lengths 300,000cm. So a square with area would correspond to a square of area .
So if the area on the map is then it would correspond to an area of .
Since there are 100cm in 1 metre, there are in .
So that means that .
Since there are 1000m in 1km, there are in .
So .
Therefore the actual area that is represented by this map is .