document.write( "Question 227887: a map has a scale of 1: 50,000
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document.write( "the area of the farm on the map is 6cm^2. What is the real area of the farm in hectares?
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document.write( "(1 hectare = 10,000 m^2= 0.01 km^2) \n" );
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Algebra.Com's Answer #169297 by Theo(13342)![]() ![]() You can put this solution on YOUR website! Scale of the map is 1:50,000\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Unless otherwise specified, this is usually a linear measurement.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if it's 1 cm, then real life would be 50,000 cm.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1cm * 1 cm = 1 cm^2 on the map.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "50,000 cm * 50,000 cm = 2,500,000,000 cm^2 in real life.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "What you would get is 1 cm^2 on the map equals 2,500,000,000 cm^2 in real life.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This means that a farm with an area of 6 cm^2 on the map would be equivalent to a farm with an area of 6*2,500,000,000 cm^2 in real life which would be equal to 15,000,000,000 cm^2 in real life.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now 1 centimeter = 1/100 of a meter = .01 meter.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1 cm * 1 cm = 1 cm^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( ".01 m * .01 m = .0001 m^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You have 1 cm^2 = .0001 m^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "15,000,000,000 cm^2 * .0001 = 1,500,000 m^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since 1 hectare = 10,000 m^2, this means that 1 m^2 = 1/10,000 of a hectare = .0001 hectares.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1,500,000 m^2 * .0001 = 150 hectares.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I believe your answer will be 150 hectares. *****************************\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The arithmetic looks good.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If the scale of the map means what I think it does, then these measurements should be good and he area of the farm in hectares should be 150.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |