Question

c) The scale of a map is 1 : 200000. A plot of land of area 20 km? is to be represented on the map.
Find :
(i) The number of kilometers on the ground which is represented by 1 cm on the map.
(ii) The area in km? that can be represented by 1 cm².
(iii) The area on the map that represents the plot of land.
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Answer 1

Find the area represented by 1 km²:

1 cm : 2 km

2km : 1 cm

1 km : 0.5 cm

( 1 km )² = ( 0.5 cm )²

1 km² = 0.25 cm²

Find the area represented by 10 km²:

1 km² = 0.25 cm²

10km² = 0.25 x 10 = 2.5 cm²

Answer: 10 km² is represented by 2.5 cm² on the map

Answer 2

2.5.cm^2

HOPE it helps you