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A distance of 12km is represented by a length of 4cm on a map. Given that the scale of the map is 1:n, find the

  1. value of n
  2. actual area in hectares of a field on the map with an area of 32cm2

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  1. 4 cm : 12 km
    4 cm : 12000 m
    4 cm : 1200000 cm
       =1 : 300,000 
  2. 1 cm : 3,000 m
    1 cm2 : 9,000,000 m2
    32cm2 : 288,000,000 m2
    we know 1 hectare = 100 m by 100 m or 10,000 m2
     so 288,000,000 m2 = 288,000,000
                                        10,000
                                =28,800 hectares

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