Question

The distance between the towns of averton and brackeston is 10km. on a map the distance is 5 cm.

what is the scale of the map in its simplest from?

Answer 1

`(1)/(200,000)`

Explanation:

we know that

To find out the scale of the map, divide the distance on the map by the distance in the actual

so

`(5\ cm)/(10\ km)=0.5\ (cm)/(km)`

Remember that

`1\ km=100,000\ cm`

substitute

`(0.5)/(100,000)\ (cm)/(cm)`

`(5)/(1,000,000)`

simplify

`(1)/(200,000)`

That means

1 unit on the map represent 200,000 units in the actual

or

1 cm on the map represent 200,000 cm in the actual

1 cm on the map represent 2 km in the actual