SOLUTION: a piece of land was plotted on a map having scale 1:20000. its area on this map = 100 cm2 what would be the area on the map having a scale 1:100

Question 1171772: a piece of land was plotted on a map having scale 1:20000. its area on this map = 100 cm2 what would be the area on the map having a scale 1:100
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The scale is decreased by a factor of 200
The area is increased by a factor of 40000, 200^2
This would be 4,000,000 cm2.
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Suppose the land were a square 10 cm on a side on the map
10 cm on a scale of 1:20000 is 200,000 cm or 2 km actual
the actual land is 4 km^2.
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To get 4 km^2 on 1:100 scale, the side has to be 2 km and at 1:100 scale that is 20 m, so the map area would be 400 m^2 or 400m^2*100cm/m*100 cm/m=4,000,000 cm^2
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