The representative fraction of a map is written as 1:50,000. What does this mean?
- A.One unit on the map represents 50,000 of the same units on the ground
- B.One centimetre on the map represents 50,000 kilometres on the ground
- C.The map covers an area of 50,000 square kilometres
- D.The map has been reduced 50,000 times from an aerial photograph
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Explanation
The correct answer is A. The representative fraction is a pure ratio without units, so one unit of length on the map stands for fifty thousand of the same units on the ground; it can be read in centimetres, inches or any other unit, which is why it is understood everywhere. Option B is wrong because it mixes the units: one centimetre on such a sheet stands for fifty thousand centimetres, that is half a kilometre, not fifty thousand kilometres. Option C is wrong because the representative fraction says nothing about the area a sheet covers; that depends on the size of the paper. Option D is wrong because the fraction compares the map with the ground, not with a photograph, and a map may be drawn from a ground survey with no photograph involved at all.