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Question

Difficulty: EasyMap Scale Conversion and Distance Calculation

A straight road connecting a farm settlement to a regional market town measures 8.5 cm8.5\text{ cm} on a map with a scale of 1:20,0001 : 20,000. What is the actual ground distance between the two locations in kilometers?

Answer: 1.7 km

Answer

The actual ground distance between the farm settlement and the market town is 1.7 km1.7\text{ km}.
Multiplying 8.5 cm8.5\text{ cm} by the scale ratio denominator (20,00020,000) gives a real-world distance of 170,000 cm170,000\text{ cm}. Converting to kilometers (170,000÷100,000170,000 \div 100,000) yields 1.7 km1.7\text{ km}.

Step-by-Step Solution

1
Calculate the ground distance in centimeters
170,000 cm170,000\text{ cm}
Ground distance equals map distance multiplied by scale denominator (8.5 cm×20,0008.5\text{ cm} \times 20,000).
2
Convert centimeters into kilometers
1.7 km1.7\text{ km}
Since 1 km=100,000 cm1\text{ km} = 100,000\text{ cm}, divide 170,000 cm170,000\text{ cm} by 100,000100,000.

Key Concept

Map Scale Distance Calculation
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Topics

Map Scale Conversion and Distance Calculation

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