document.write( "Question 394927: A farmer has 500m of fencing to create a pig pen against his barn wall
\n" ); document.write( "The enclosed area is 15 625 m square.
\n" ); document.write( "How long is the pen \n" ); document.write( "

Algebra.Com's Answer #280288 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!


\n" );
document.write( "Hi
\n" );
document.write( "Let x and (500-2x) represent the width and length of pen
\n" );
document.write( "Question states***
\n" );
document.write( "  x(500-2x) = 15625    |area = width*length
\n" );
document.write( "solving for x
\n" );
document.write( " 500x - 2x^2 = 15625
\n" );
document.write( "   2x^2 - 500x + 15625 = 0
\n" );
document.write( "
\n" );
document.write( "x =  36.6m and 213.4m (rounding to nearest tenth and tossing out larger solution)
\n" );
document.write( "Length of Pen = 500m- 2*36.6m = 426.8m\r
\n" );
document.write( "\n" );
document.write( "CHECKING our Answer
\n" );
document.write( "426.8m + 36.6m + 36.6m = 500m of fencing    |pen is against his barn wall
\n" );
document.write( " \n" );
document.write( "

\n" );