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Question
If the scale of a particular map is 2 cm : 1 km, what is the Representative Fraction or RF?
If the scale of a particular map is 2 cm : 1 km, what is the Representative Fraction or RF?
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Solution
The correct option is A 1 : 50,000
A Representative Fraction or RF describes the proportion or ratio of the map distance and the ground distance. That is,
Representative Fraction = distance on the map ÷ distance on the ground
But 1km = 1000m and 1m = 100cm
Thus, 1km = 1,00,000cm
The RF= 2cm: 1km, can also be written as the RF= 1cm = 0.5km.
Or 1cm = 0.5 * 1,00,000cm
Or 1cm = 50,000cm
Therefore, the RF here is 1: 50,000.
A Representative Fraction or RF describes the proportion or ratio of the map distance and the ground distance. That is,
Representative Fraction = distance on the map ÷ distance on the ground
But 1km = 1000m and 1m = 100cm
Thus, 1km = 1,00,000cm
The RF= 2cm: 1km, can also be written as the RF= 1cm = 0.5km.
Or 1cm = 0.5 * 1,00,000cm
Or 1cm = 50,000cm
Therefore, the RF here is 1: 50,000.
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