Question

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

Answer 1

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

Answer 2

The distance on the map between the two towns=14 cm

1:200,000 this means that 1 cm on the map represents 200,000 cm on the road, 1 cm:200,000 cm

Convert 28 kilometres to m

What is the value of 1 meter?

1 kilometre=1,000 metres

multiply both side by 28 we get,

28 kilometres=28×1,000=28,000 meters

Next we have to find the value of 28000 meters into centimetres

Convert 28,000 meters to centimetres

1 meter=100 centimetres

multiply both side by 28000 we get,

28,000 meters=28,000×100=2,800,000 centimetres

The scale factor of 1:200,000 convert 2,800,000 cm on the road can be converted to map measurements is,

$Distance on the map=scale factor* distance on the road$

where scale factor=1/200,000 distance on the road=2,800,000 cm

using the value in the distance formula

Distance on the map=(1/200,000)×2,800,000

Distance on the map=14 cm

Therefore,the distance on the map between the two towns=14 cm

To learn more about the unit conversion visit:

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