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 2 centimeters 2 centimeters 3 centimeters 3 centimeters 0.05 centimeters 0.05 centimeters 12 centimeters

1 answer

To find the distance between Lewis City and Jenkinsville on Arturo's drawing, we can set up a proportion using the distances provided in the table:

Actual distance between Bellstown and Lewis City: 120 km
Actual distance between Bellstown and Jenkinsville: 40 km
Actual distance between Jenkinsville and Lewis City: 60 km

If the distance between Bellstown and Lewis City is 6 centimeters on the drawing, then the scale factor is 120 km / 6 cm = 20 km/cm.

Using this scale factor, we can find the distance between Lewis City and Jenkinsville on the drawing:
Distance between Jenkinsville and Lewis City = 60 km / 20 km/cm = 3 cm

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