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A Plot of Land of Area 20km2 is Represented on the Map with a Scale Factor of 1:200000. Find: the Number of Km Represented by 2cm on the Map. - Mathematics

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Question

A plot of land of area 20km2 is represented on the map with a scale factor of 1:200000. Find: The number of KM represented by 2cm on the map.

Sum

Solution

1cm on the map = 200,000cm on the land (as the scale is 1:200000)
1km = 100000cm

`"distance(map)"/"distance(land)"` = Scale

`(2)/("distance(land)" xx (100000)) = (1)/((200000)`

Hence 2cm on map

= `(2 xx 200000)/(100000)`
= 4km.

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Chapter 16: Similarity - Exercise 16.2

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Frank Mathematics [English] Class 9 ICSE
Chapter 16 Similarity
Exercise 16.2 | Q 18.1
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