Answer:
The distance on the map between the two towns=14 cm
Step-by-step explanation:
Step 1
Express 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 cm
Step 2
Convert 28 kilometers to m
1 meter=1,000 kilometers
28 kilometers=28×1,000=28,000 meters
Convert 28,000 meters to centimeters
1 meter=100 centimeters
28,000 meters=28,000×100=2,800,000 centimeters
Step 3
Using 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 road
where;
scale factor=1/200,000
distance on the road=2,800,000 cm
replacing;
Distance on the map=(1/200,000)×2,800,000
Distance on the map=14 cm
The distance on the map between the two towns=14 cm
