Question

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

Answer 1

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