The scale on a map is 1 : 200 000. A section of railway line measures 3.5 cm on the map. How long is the actual section of railway line in kilometres?
1. 7 km
2. 0.7 km
3. 70 km
4. 0.07 km
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To find the actual length of the railway line, we can use the scale provided on the map.
1. The scale of 1 : 200,000 means that 1 cm on the map represents 200,000 cm in reality.
2. If the railway line measures 3.5 cm on the map, we can calculate the real length as follows:
[ text{Actual length} = text{Map length} times text{Scale factor} ]
[ text{Actual length} = 3.5 , text{cm} times 200,000 , text{cm} ]
3. Calculating that gives:
[ text{Actual length} = 700,000 , text{cm} ]
4. Now, to convert centimeters to kilometers, we divide by 100,000 (since there are 100,000 cm in 1 km):
[ 700,000 , text{cm} div 100,000 = 7 , text{km} ]
Therefore, the actual length of the railway line is 7 km.
The correct answer is 1. 7 km.