Question

the scale of a map is 1:500000 the actual distance between two town is 172 km calculate the distance, in centimeters, between two towns on the map. ​

Answer 1

34.4 cm

Explanation:

The scale of the map is 1:500000

This means 1 cm in the map is equivalent to 500000 cm in actual.

So, first we need to convert the distance between the 2 towns in centimeters.

The distance between two towns is 172 km

172 km = 172 x 1000 meters = 172,000 meters

172,000 meters = 172,000 x 100 cm = 17,200,000 cm

500,000 cm in actual on the map = 1 cm

1 cm in actual on the map =
`(1)/(500000)` cm

17,200,000 cm in actual on the map will be =
`(1)/(500000) * 17200000 = 34.4` cm

Thus, 172 km actual distance would be represented by 34.4 cm on the map