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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
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B
55.80 km
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C
62.80 km
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D
72 km
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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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