Question

The scale of a map is 1:200000. A plot of land of area 20 $k{m}^2$ is to be represented on the map. Find the area on the map that represents the plot of land.

• A. 12 cm²
• B. 15 cm²
• C. 10 cm²
• D. 5 cm²

Answer 1

The correct option is D

5 cm²

$WehaveScalefactor\left(k\right)=200000Areaoftheplotontheground=k^2\times \left(Areaoftheplotonthemap\right)\Rightarrow 20k{m}^2=(200000{)}^2\times (Areaoftheplotonthemap)\Rightarrow Areaoftheplotonthemap=\frac{20\times 100000\times 100000}{(200000{)}^2}c{m}^2\Rightarrow Areaoftheplotonthemap=\frac{20}{4}c{m}^2=5c{m}^2$