document.write( "Question 831900: A rectangular farm is one hectare in area,its perimeter is 500 meters,find the dimensions of the farm in meters \n" ); document.write( "

Algebra.Com's Answer #501728 by JulietG(1812) $\"\"$ $\"About$

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First, you need to know how many meters in a hectare.
\n" ); document.write( "Using http://www.metric-conversions.org, 1 hectare = 10,000 square meters.
\n" ); document.write( "Area = width * length
\n" ); document.write( "We're given the area as 10,000 and the perimeter as 500.
\n" ); document.write( "The Perimeter is 2L + 2W
\n" ); document.write( "Think of it as a fence; for this area, you need 500 meters worth of fence to go around it.
\n" ); document.write( "If the whole perimeter is 500 and that's 2L + 2W, then 1L + 1W = half of that, or 250.
\n" ); document.write( "Now you need to find two numbers that equal 250 when added, and equal 10k when multiplied.
\n" ); document.write( "What are the factors of 10,000?
\n" ); document.write( "{1,10000}, (2,5000}, {4,2500},(5,2000},{10,1000}
\n" ); document.write( "All of those are too big to add to 250. Let's keep going.
\n" ); document.write( "{25,400},{40,250}, {50,200}, {100, 100}
\n" ); document.write( "Do any of those add to 250? Yes, success!
\n" ); document.write( "The farm's dimensions are 50 x 200 meters <<-- \n" ); document.write( "

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