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Difficulty: EasyScale Drawings

On a regional map, a scale of 1 inch=12 miles1\text{ inch} = 12\text{ miles} is used. If a straight road is 1.5 inches1.5\text{ inches} long on the map, what is the actual length of the road?

  1. A
    0.125 miles0.125\text{ miles}
  2. B
    8 miles8\text{ miles}
  3. 18 miles18\text{ miles}Answer
  4. D
    180 miles180\text{ miles}

Answer

The actual length of the road is 18 miles18\text{ miles}.
The map uses a scale where each inch corresponds to 1212 actual miles. To find the real distance, we multiply the map distance by the scale: 1.5×12=181.5 \times 12 = 18. Therefore, the road is 18 miles18\text{ miles} long in reality.

Step-by-Step Solution

1
Identify the scale ratio and the given map measurement.
The scale is 1 inch=12 miles1\text{ inch} = 12\text{ miles}, and the map measurement is 1.5 inches1.5\text{ inches}.
This establishes the relationship between the drawing size and the real-world size.
2
Set up the calculation to find the actual distance.
Actual distance = 1.5 inches×12 miles/inch1.5\text{ inches} \times 12\text{ miles/inch}.
Since every inch represents 12 miles12\text{ miles}, multiplying the number of map inches by 1212 will yield the actual miles.
3
Perform the multiplication.
1.5×12=18 miles1.5 \times 12 = 18\text{ miles}.
Completing the arithmetic gives the final actual length of the road.

Key Concept

To find actual dimensions from a map, multiply the measured distance on the map by the given scale factor.
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Topics

Scale Drawings

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