Question

# On a scale map $$0.7\ cm$$ represents $$8.4\ km$$. If the distance between two points on the map is $$46.5\ cm$$, what is the actual distance between the points?

A
56 km
B
55.80 km
C
62.80 km
D
72 km

Solution

## The correct option is A $$55.80\ km$$Given $$0.7$$cm represents $$8.4$$ km $$46.5$$ cm represents $$x$$By proportionality $$\dfrac{0.7}{46.5} = \dfrac{8.4}{x}$$$$x = \dfrac{8.4\times46.5}{0.7}$$ $$x = 55.80km$$Mathematics

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