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

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- Oct 31st 2008, 08:11 PMhelloyingMaps
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 - Nov 1st 2008, 07:25 PMProve It
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 . - Nov 1st 2008, 07:29 PMhelloying
OH I SEE! thank you very much. I have been very stupid. i understand now