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.
[tex]\dfrac{1}{25000}=\dfrac{6}{100,000x}[/tex]
[tex]\dfrac{100,000x}{25000}=6[/tex]
[tex]4x=6[/tex]
[tex]x=\dfrac{6}{4}[/tex]
[tex]x=1.5[/tex]
Therefore, 1.5 km on the ground is represented by 6cm on the map.
