Question

The scale on a map is 1:25000. how many km on the ground is represented by 6cm on the map?

Answer 1

Given:

The scale on a map is 1:25000.

To find:

How many km on the ground is represented by 6cm on the map?

Solution:

Let x be the km on the ground.

We know that,

1 km = 1000 m

1 m = 100 cm

So,

1 km = 100,000 cm

x km = 100,000x cm

The scale on a map is 1:25000. It means the ratio of map and ground is equal to 1:25000.

`(1)/(25000)=(6)/(100,000x)`

`(100,000x)/(25000)=6`

`4x=6`

`x=(6)/(4)`

`x=1.5`

Therefore, 1.5 km on the ground is represented by 6cm on the map.