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Length and Area in Scale Drawings Quick Check
1 of 51 of 5 Items
Question
Use the table to answer the question.

Town Town Actual Distance Between Towns
Bellstown Lewis City 120 km
Bellstown Jenkinsville 40 km
Jenkinsville Lewis City 60 km
Arturo creates a scale drawing showing these distances. If the distance between Lewis City and Bellstown is 6 centimeters on his drawing, how far apart are Lewis City and Jenkinsville on Arturo’s drawing?

(1 point)
Responses

12 centimeters
12 centimeters

2 centimeters
2 centimeters

3 centimeters
3 centimeters

0.05 centimeters
0.05 centimeters
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1 answer

To find the distance between Jenkinsville and Lewis City on Arturo's scale drawing, we first need to determine the scale of the drawing based on the actual distance between Bellstown and Lewis City.

Given:

  • The actual distance between Bellstown and Lewis City is 120 km.
  • In the drawing, this distance is represented as 6 cm.

To find the scale, we set up a ratio:

\[ \text{Scale} = \frac{\text{Drawing Distance}}{\text{Actual Distance}} = \frac{6 \text{ cm}}{120 \text{ km}} = \frac{6}{120} = \frac{1}{20} \]

This means that 1 cm on the drawing represents 20 km in reality.

Now we need to find the distance between Jenkinsville and Lewis City in reality. The actual distance between Jenkinsville and Lewis City is given as 60 km.

To convert this distance into the scale drawing: \[ \text{Distance in the drawing} = \frac{\text{Actual Distance}}{20} = \frac{60 \text{ km}}{20} = 3 \text{ cm} \]

Hence, the distance between Lewis City and Jenkinsville on Arturo’s drawing is 3 centimeters.

The correct response is: 3 centimeters.