Question

The scale of a map is 1:200000. A plot of land of area 20km square is to be represented on the map.Find

1.The number of kilometres on the ground which is represented by 1cm on the map.

2.The area in km square that can be represented by 1 cm square.

3. The area on the map that represents the plot of land.

Answer 1

Answer :

Scale of a map is 1 : 200000

1 ) So in map 1 cm = 200000 cm on ground
And we know 1 km = 100000 cm
So,
200000 cm = 2 km
So,
in map 1 cm = 2 km on ground

On ground 2 km is represented by 1 cm on the map . ( Ans )

2 ) we know 1 cm = 2 km

Area represented on graph As 1 cm² , that equal to in km As : area ( 2 $\times$ 2 = 4 km² )

So,
Area 4 km² can be expressed by 1 cm² on the map . ( Ans )


3 ) We know

1 cm = 2 km
And
Area 1 cm² = 4 km²
And we know , Area of plot of land = 20 km² , So

20 km² = $\frac{20}{4}$ = 5 cm²

So,
The area 5 cm² on the map represent the plot of land of 20 km² . ( Ans )