document.write( "Question 1154296: A rancher plans to use 340 yards of fencing for a corral and divide it into two parts with the fence parallel to the shorter sides of the corral. find the dimensions of the corral if its area is to be 4700 square yards. I used a previously answered questions and my answer still came up wrong\r
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\n" ); document.write( "\n" ); document.write( "two answers i came up with 45.43967 & 101.8405
\n" ); document.write( "or 65.4858 & 71.7712
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Algebra.Com's Answer #776700 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
A rancher plans to use \"340\" yards of fencing for a corral and divide it into two parts with the fence parallel to the shorter sides of the corral. \r
\n" ); document.write( "\n" ); document.write( "=> it is a rectangle divided into two parts; so, if \"L\" is the longer side and \"W\" is the shorter side, you will have \"2L\" and \"W\" whose sum is \"340\"\r
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\n" ); document.write( "\n" ); document.write( "find the dimensions of the corral if its area is to be \"4700\" square yards. \r
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\n" ); document.write( "\n" ); document.write( "perimeter in this case would be:\r
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\n" ); document.write( "\n" ); document.write( "\"2L+%2B+3W+=+340\"....solve for \"L\"\r
\n" ); document.write( "\n" ); document.write( "\"2L+=+340+-+3W\"\r
\n" ); document.write( "\n" ); document.write( "\"L+=+340%2F2+-+%283%2F2%29W\"\r
\n" ); document.write( "\n" ); document.write( "\"L+=+170+-+1.5W\".........eq.1\r
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\n" ); document.write( "\n" ); document.write( "The area:\r
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\n" ); document.write( "\n" ); document.write( "\"A=L%2AW\"......plug in desired area and substitute \"L\" from eq.1\r
\n" ); document.write( "\n" ); document.write( "\"4700=%28170-1.5W%29%2AW\".....solve for \"W\"\r
\n" ); document.write( "\n" ); document.write( "\"4700=170W-1.5W%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"1.5W%5E2-170W%2B4700=0\"......use quadratic formula\r
\n" ); document.write( "\n" ); document.write( "\"W=%28-%28-170%29%2B-sqrt%28%28-170%29%5E2-4%2A1.5%2A4700%29%29%2F%282%2A1.5%29\"\r
\n" ); document.write( "\n" ); document.write( "\"W=%28170%2B-sqrt%2828900-28200%29%29%2F3\"\r
\n" ); document.write( "\n" ); document.write( "\"W=%28170%2B-sqrt%28700%29%29%2F3\"\r
\n" ); document.write( "\n" ); document.write( "\"W=%28170%2B-10sqrt%287%29%29%2F3\"\r
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\n" ); document.write( "\n" ); document.write( "exact solutions:\r
\n" ); document.write( "\n" ); document.write( "\"W=%28170%2B10sqrt%287%29%29%2F3\" or
\n" ); document.write( "\"W=%28170-10sqrt%287%29%29%2F3\"\r
\n" ); document.write( "\n" ); document.write( "approximate solutions:\r
\n" ); document.write( "\n" ); document.write( "\"W=65.49\" or
\n" ); document.write( "\"W=47.85\"\r
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\n" ); document.write( "\n" ); document.write( "find \"L\"\r
\n" ); document.write( "\n" ); document.write( "\"L+=+170+-+1.5%28170%2B10sqrt%287%29%29%2F3\".........eq.1\r
\n" ); document.write( "\n" ); document.write( "\"L+=+170+-+%28170%2B10sqrt%287%29%29%2F2\" or
\n" ); document.write( "\"L+=+170+-+%28170-10sqrt%287%29%29%2F2\"\r
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\n" ); document.write( "\n" ); document.write( "approximate solutions:\r
\n" ); document.write( "\n" ); document.write( "\"L+=+71.77\" or
\n" ); document.write( "\"L+=+98.23\"\r
\n" ); document.write( "\n" ); document.write( "so, you have:\r
\n" ); document.write( "\n" ); document.write( "\"L+=+highlight%2898.23%29\" and \"W=highlight%2847.85%29\"
\n" ); document.write( "\"L+=+highlight%2871.77%29\" and \"W=highlight%2865.49%29\"\r
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\n" ); document.write( "\n" ); document.write( "check the perimeter:\r
\n" ); document.write( "\n" ); document.write( "\"2L+%2B+3W+=+340\"
\n" ); document.write( "\"2%2A98.23+%2B+3%2A47.85+=+340\"
\n" ); document.write( "\"340.01=+340\" round it
\n" ); document.write( "\"340=+340\"\r
\n" ); document.write( "\n" ); document.write( "or\r
\n" ); document.write( "\n" ); document.write( "\"2L+%2B+3W+=+340\"
\n" ); document.write( "\"2%2A71.77+%2B+3%2A65.49+=+340\"
\n" ); document.write( "\"340.01=+340\" round it
\n" ); document.write( "\"340=+340\"\r
\n" ); document.write( "\n" ); document.write( "check the area:\r
\n" ); document.write( "\n" ); document.write( "\"4700=98.23%2A47.85\"
\n" ); document.write( "\"4700=4700.3055\"round it
\n" ); document.write( "\"4700=4700\"\r
\n" ); document.write( "\n" ); document.write( "\"4700=71.77%2A65.49\"
\n" ); document.write( "\"4700=4700.2173\"round it
\n" ); document.write( "\"4700=4700\"\r
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