document.write( "Question 1057059: A rectangular playing field with a perimeter of 100 meters is to have an area of at least 500 square meters. Within what bounds must the length of the rectangle lie? \n" ); document.write( "

Algebra.Com's Answer #672153 by ikleyn(52803) $\"\"$ $\"About$

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\n" ); document.write( "A rectangular playing field with a perimeter of 100 meters is to have an area of at least 500 square meters.
\n" ); document.write( "Within what bounds must the length of the rectangle lie?
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document.write( "x*(50-x) = 500.    ( Notice that 50 = 100/2 is the half of the perimeter (!)}}}\r\n" );
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document.write( "It is your governing equation.\r\n" );
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document.write( "Simplify and solve it:\r\n" );
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document.write( "x^2 - 50x + 500 = 0,\r\n" );
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document.write( " =  =  = .\r\n" );
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document.write( "Answer. The length L must lie between 25 and :  25 <= L <= . Then the width must be W = 50 - L.\r\n" );
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