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 area of land represented on the map.

Answer 1

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 .