document.write( "Question 353187: A rancher uses 834 meters of fencing to enclose a rectangular region and also to subdivide the region into two smaller rectangular regions by placing a fence parallel to one of the sides. Find the dimension that produce the greastest enclosed area. \n" ); document.write( "

Algebra.Com's Answer #252398 by Edwin McCravy(20060) $\"\"$ $\"About$

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A rancher uses 834 meters of fencing to enclose a rectangular region and also to subdivide the region into two smaller rectangular regions by placing a fence parallel to one of the sides. Find the dimension that produce the greastest enclosed area.\r
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document.write( "We might as well put the subdivision right in the middle and \r\n" );
document.write( "divide the rectangle into two equal x by h rectangles.\r\n" );
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document.write( "Let the area be \r\n" );
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document.write( "Area = (base)(height)\r\n" );
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document.write( "Base = \r\n" );
document.write( "Height = \r\n" );
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document.write( "Let the area be \r\n" );
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document.write( "Sum of fencings = \r\n" );
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document.write( "Solve for h\r\n" );
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document.write( "Substitute in\r\n" );
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document.write( "Use the vertex formula for this parabola:\r\n" );
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document.write( "x-coordinate of vertex = \r\n" );
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document.write( "So the dimensions are 2x by h or  by  or \r\n" );
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document.write( "m by m\r\n" );
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document.write( "or\r\n" );
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document.write( "210.75m by 140.5m\r\n" );
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document.write( "Edwin

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