document.write( "Question 245071: A rancher plans to use 160 yd of fencing to enclose a rectangular corral and to divide it into two parts by a fence parallel to the shorter sides of the corral. Find the dimensions of the corral if its area is 1000yds squared. \n" ); document.write( "
Algebra.Com's Answer #179165 by stanbon(75887)\"\" \"About 
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A rancher plans to use 160 yd of fencing to enclose a rectangular corral and to divide it into two parts by a fence parallel to the shorter sides of the corral. Find the dimensions of the corral if its area is 1000yds squared.
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\n" ); document.write( "Draw the picture.
\n" ); document.write( "Let the shorter side of the rectangle be \"x\".
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\n" ); document.write( "3 shorter sides = 3x yrds
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\n" ); document.write( "Each of the longer sides is (160-3x)/2
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\n" ); document.write( "Area = shorter * longer
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\n" ); document.write( "1000 = x
\n" ); document.write( "1000 = 80x - (3/2)x^2
\n" ); document.write( "2000 = 160x - 3x^2
\n" ); document.write( "3x^2 -160x + 2000 = 0
\n" ); document.write( "x = [160 +- sqrt(160^2 - 4*3*2000)]/6
\n" ); document.write( "x = [160 +- sqrt(1600)]/6
\n" ); document.write( "Positive solution:
\n" ); document.write( "x = [160 + 40]/6
\n" ); document.write( "x = 200/6
\n" ); document.write( "x = 33 1/3 yrds. (side)
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\n" ); document.write( "(160-3(100/3))/2 = 30 yrds. (other side)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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