the scale on a map is 320000. What is the actual distance represented by 1 centimetre
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Scale DrawingsA map cannot be of the same size as the area it represents. So, the measurements are scaled down to make the map of a size that can be conveniently used by users such as motorists, cyclists and bushwalkers. A scale drawing of a building (or bridge) has the same shape as the real building (or bridge) that it represents but a different size. Builders use scaled drawings to make buildings and bridges.A ratio is used in scale drawings of maps and buildings. That is:
Likewise, we have:
A scale is usually expressed in one of two ways:using units as in 1 cm to 1 kmwithout explicitly mentioning units as in 1 : 100 000.
Note:A scale of 1 : 100 000 means that the real distance is 100 000 times the length of 1 unit on the map or drawing.
Example 14Write the scale 1 cm to 1 m in ratio form.Solution:
Example 15Simplify the scale 5 mm : 1 m.Solution:
Example 16Simplify the scale 5 cm : 2 km.Solution:
Calculating the Actual Distance using the ScaleIf the scale is 1 : x, then multiply the map distance by x to calculate the actual distance.
Example 17A particular map shows a scale of 1 : 5000. What is the actual distance if the map distance is 8 cm?Solution:
Map distance = 8 cmLet the actual distance be a cm.
Alternative Way:Map distance = 8 cm
Calculating the Scaled Distance using the Actual DistanceIf the scale is 1 : x, then divide the actual distance by x to calculate the map distance.
Example 18A particular map shows a scale of 1 cm : 5 km. What would the map distance (in cm) be if the actual distance is 14 km?Solution:So, the map distance is 2.8 cm.
Alternative Way:So, the map distance is 2.8 cm.
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Answer: 3.2
Step-by-step explanation: 320 000 divided by 1000 would give you 320 then divide 320 by 100
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