The scale of a map is 1:20,000. On the map the distance between 2 towns is 9cm. Work out the real distance between the towns. Give your answer in kilometers.
well, that would be
9*20000 cm
Just change that to km
or, to make things easier, 20000cm = 200m = 0.2km
so,
9cm = 9*0.2 km
1.8km
To find the real distance between the towns, we can use the scale of the map. The scale of 1:20,000 means that every 1 cm on the map represents 20,000 cm in reality.
Given that the distance between the towns on the map is 9 cm, we can find the real distance by multiplying 9 cm by the scale factor of 20,000:
9 cm * 20,000 cm = 180,000 cm.
To convert this to kilometers, we divide the distance by 100,000 (since there are 100,000 centimeters in a kilometer):
180,000 cm / 100,000 = 1.8 km.
Therefore, the real distance between the towns is 1.8 kilometers.
To find the real distance between the towns, we need to convert the map distance to the actual distance using the scale provided.
The given scale is 1:20,000, which means that 1 unit on the map represents 20,000 units in the real world. In this case, the unit on the map is centimeters (cm), so we can say that 1 cm on the map represents 20,000 cm in reality.
Given that the distance between the two towns on the map is 9 cm, we can use this information to set up a proportion:
1 cm on the map = 20,000 cm in the real world
9 cm on the map = x km in the real world
To solve for x, we can cross-multiply and then divide:
9 cm * 20,000 cm = x km
180,000 cm² = x km
Since there are 100,000 centimeters in a kilometer, we can convert cm² to km by dividing by 100,000:
180,000 cm² / 100,000 = 1.8 km
Therefore, the real distance between the two towns is 1.8 kilometers.