document.write( "Question 1098496: the plan of a shopping complex is drawn to a scale of 1:400. A supermarket on the plan occupies an area of 0.25m square, calculate its actual area in hectares \n" ); document.write( "
Algebra.Com's Answer #712853 by KMST(5328)\"\" \"About 
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On the floorplan the building may be a rectangle with a certain length and width.
\n" ); document.write( "If it is so, and those length and width measurements, in m, are represented by \"L\" and \"W\" respectively,
\n" ); document.write( "\"L%2AW=0.25\" .
\n" ); document.write( "The actual building length and width measurements, in m, are
\n" ); document.write( "\"400L\" and \"400W\" ,
\n" ); document.write( "so its surface area in \"m%5E2\" can be calculated as
\n" ); document.write( " .
\n" ); document.write( "I was taught in elementary school, than an are is \"%2810+m%29%2A%2810+m%29=100m%5E2\" ,
\n" ); document.write( "and that the prefix \"hecto\" means \"100times\" .
\n" ); document.write( "so \"1+hectare=100ares=10000m%5E2\" (about the surface area of a city block),
\n" ); document.write( "and \"40000m%5E2\" is \"highlight%284hectares%29\"
\n" ); document.write( "
\n" ); document.write( "But what if the building shape is not a rectangle?
\n" ); document.write( "Any 2-D or 3-D shape can be approximated by an arrangement of squares or cubes,
\n" ); document.write( "so for any shape that is scaled up or down to get a similar shape
\n" ); document.write( "by multiplying all corresponding lengths times a factor \"k\" ,
\n" ); document.write( "all corresponding surface areas are multiplied times \"k%5E2\" ,
\n" ); document.write( "and all corresponding volumes are multiplied times \"k%5E3\" .\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
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