Find the actual distance represented by 1 cm to write the scale of a map with the key 2/5cm = 8km

Question

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Answer 1

If you multiply both sides of the conversion factor by 5/2, you will get the equivalent distance in km.

 

(5/2)(2/5)cm = (5/2)(8km)

 

1 cm = (5 * 4) km

 

1 cm = 20 km

Answer 2

Set up a proportion:  (2/5)cm/8km = 1cm/x

 

                                       (2/5)x = 8

 

                                              x = 20km