MATH SOLVE

4 months ago

Q:
# The scale on the map is stated as 1 : 200000. A main road connects two towns which are 28 kilometres apart. How far will it be on the map, in centimetres, between the two towns along the main road

Accepted Solution

A:

Answer:The distance on the map between the two towns=14 cmStep-by-step explanation:Step 1Express the scale as;1:200,000 this means that 1 cm on the map represents 200,000 cm on the road, 1 cm:200,000 cmStep 2Convert 28 kilometers to m1 meter=1,000 kilometers28 kilometers=28×1,000=28,000 metersConvert 28,000 meters to centimeters1 meter=100 centimeters28,000 meters=28,000×100=2,800,000 centimetersStep 3Using the scale factor of 1:200,000 convert 2,800,000 cm on the road can be converted to map measurements as follows;Distance on the map=scale factor×distance on the roadwhere;scale factor=1/200,000distance on the road=2,800,000 cmreplacing;Distance on the map=(1/200,000)×2,800,000Distance on the map=14 cm The distance on the map between the two towns=14 cm