document.write( "Question 1163322: A two-pen corral is to be built. The outline of the corral forms two
\n" ); document.write( "identical adjoining rectangles. If there is 120 m of fencing available and
\n" ); document.write( "the fence width cannot be less than 6 m, what dimensions of the corral will
\n" ); document.write( "maximize
\n" ); document.write( "the enclosed area? [round all answers to one decimal places)
\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "In the rectangular corral Horizontal line is the length and vertical line is the width.\r
\n" ); document.write( "\n" ); document.write( "Thank you. \n" ); document.write( "

Algebra.Com's Answer #787393 by Edwin McCravy(20054) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "                          \r\n" );
document.write( "                           \r\n" );
document.write( "                           \r\n" );
document.write( "\r\n" );
document.write( "                          \r\n" );
document.write( "                          \r\n" );
document.write( "                         \r\n" );
document.write( "                         \r\n" );
document.write( "                         \r\n" );
document.write( "\r\n" );
document.write( "The graph of the area with respect to the width x has this graph,\r\n" );
document.write( "which is a parabola:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The maximum value is the y-value at the vertex. We find the vertex of a\r\n" );
document.write( "parabola by using the vertex formula for the x-coordinate of the vertex:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So the maximum area is when the width x is 20 meters and the length is 2u\r\n" );
document.write( "\r\n" );
document.write( "                           \r\n" );
document.write( "                           \r\n" );
document.write( "                           \r\n" );
document.write( "                           \r\n" );
document.write( "                          \r\n" );
document.write( "\r\n" );
document.write( "The two-pen corral has maximum area when its width is 20 meters and its \r\n" );
document.write( "length is 30 meters. [Incidentally that maximum area is the y-coordinate\r\n" );
document.write( "of the vertex, which you can get by substitution and finding y. It's 600 m². \r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "

\n" );