Question : If a map of a city was drawn on a scale of 0.2 cm to a km, what area would represent a country if it has an area of 22500 km2 $
Option 1: 2500 km2
Option 2: 2250 km2
Option 3: 5625 km2
Option 4: 900 km2
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Correct Answer: 900 km 2
Solution :
Map area = Country area $\times$ (Scale)
2
Country area = 22500 km
2
Scale of 0.2 cm per km corresponds to 1 km.
⇒ Map area = 22500 × (0.2)
2
⇒ Map area = 22500× 0.04
$\therefore$ Map Area = 900 km
2
Hence, the correct answer is 900 km
2
.
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