document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1012890>Question 1012890</A>: <I><SPAN STYLE=\"word-break: break-all;\"> On a map with a scale of 1cm:100m, if the area of a field is 180 m2 on the map, what is its actual area in hectares?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #629097 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=629097\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the scale on the map is 1 cm to 100 m.\r<BR>\n" );
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document.write( "this means that something with the length of 1 cm on the map is representing something with a length of 100 m in the real world.\r<BR>\n" );
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document.write( "i believe you mean that the area is 180 cm^2 on the map.\r<BR>\n" );
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document.write( "it's not likely that it will be 180 m^2 on the map because that would be way bigger than the map.\r<BR>\n" );
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document.write( "180 square meters is an area that is roughly 13 meters by 13 meters.\r<BR>\n" );
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document.write( "it's not likely any representation on the map would be that big.\r<BR>\n" );
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document.write( "consequently, i'm going to assume you meant 180 cm^2 on the map.\r<BR>\n" );
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document.write( "the scale says that 1 cm on the map is equal to 100 m in the real world.\r<BR>\n" );
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document.write( "therefore, an area of 1*1 = 1 square centimeter on the map would be equal to an area of 100*100 = 10,000 square meters in the real world.\r<BR>\n" );
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document.write( "180 square cm on the map is therefore equal to 180 * 10,000 = 1,800,000 square meters in the real world.\r<BR>\n" );
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document.write( "we can test this out by assuming 180 square centimeters is equal to an area on the map that is 10 cm long by 18 cm wide.\r<BR>\n" );
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document.write( "10 cm * 18 cm is equal to 180 square centimeters on the map.\r<BR>\n" );
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document.write( "10 cm on the map is equal to 10 * 100 = 1000 meters in the real world.<BR>\n" );
document.write( "18 cm on the map is equal to 18 * 100 = 1800 meters in the real world.\r<BR>\n" );
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document.write( "this is because the ratio of meters to centimeters is 100 / 1.<BR>\n" );
document.write( "therefore, to find equivalent meters in the real world, you multiply the centimeters on the map by 100.\r<BR>\n" );
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document.write( "1000 * 1800 is equal to 1,800,000 square meters in the real world.\r<BR>\n" );
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document.write( "now we get to hectares.\r<BR>\n" );
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document.write( "1 hectare is equal to 10,000 square meters.\r<BR>\n" );
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document.write( "divide 1,800,000 by 10,000 and you get 180 hectares.\r<BR>\n" );
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document.write( "so 180 square centimeters on the map is equal to 180 hectares in the real world.\r<BR>\n" );
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document.write( "that's your solution as best i can determine.<BR>\n" );
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