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Question
The scale of a map is 1 : 50000. The area of a city is 40 sq km which is to be represented on the map. Find: The length of a scale in km represented by 1cm on the map.
Solution
1cm on the map = 50,000cm on the land (as the scale is 1 : 50000)
1km = 100000cm = 2 x 50000cm
`"distance(map)"/"distance(land)"` = Scale
`(1)/("distance(land)" xx (100000)) = (1)/((50000)`
Hence 1cm on map
= `(50000)/(100000)`
= 0.5km.
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