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Question
A map is drawn to scale of 1:20000. Find: The area of the lake on the map which has an actual area of 12km2
Solution
Scale = 1:20000
area of lake represented on the map:
12 Sq km =12 x (100 x 1000)2 [as 1km = 100000cm]
= 12 x 1010
`"Area(map)"/"Area(land)"` = Scale
`"Area(map)"/(12 xx 10^10) = (1)/(20000)^2`
Area(map) = `(12 xx 10^10)/(20000)^2 = (1200)/(4)`
Area(map) = 300cm2.
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