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प्रश्न
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 area of land represented on the map.
उत्तर
Scale factor = 1 : 50000
area of land represented on the map:
40 Sq km
= 40 x (100 x 1000)2[as 1 km = 100000cm]
= 40 x 1010
`("Area"("map"))/("Area"("land")` = Scale
`("Area"("map"))/(40 xx 10^10) = (1)/(50000)^2`
Area(map)
= `(40 xx 10^10)/(50000)^2`
= `(4000)/(25)`
Area(map) = 160cm2 .
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