document.write( "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 \n" ); document.write( "
Algebra.Com's Answer #796750 by Boreal(15235)\"\" \"About 
You can put this solution on YOUR website!
The scale is decreased by a factor of 200
\n" ); document.write( "The area is increased by a factor of 40000, 200^2
\n" ); document.write( "This would be 4,000,000 cm2.
\n" ); document.write( "-
\n" ); document.write( "Suppose the land were a square 10 cm on a side on the map
\n" ); document.write( "10 cm on a scale of 1:20000 is 200,000 cm or 2 km actual
\n" ); document.write( "the actual land is 4 km^2.
\n" ); document.write( "-
\n" ); document.write( "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
\n" ); document.write( "-
\n" ); document.write( "
\n" ); document.write( "
\n" );