document.write( "Question 987860: A farmer has 200 yards of fencing to enclose three sides of a rectangular piece of property that lies next to a river. The river will serve as the fourth side. Find the dimensions of property if the area is 3200 yards^2. (There will be 2 solutions) \n" ); document.write( "
Algebra.Com's Answer #608559 by josgarithmetic(39625)\"\" \"About 
You can put this solution on YOUR website!
You can choose the sides as x, x, and y, and then the fencing length is 2x+y=200 and xy=3200 for area. This gives the system of equations\r
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\n" ); document.write( "\n" ); document.write( "\"system%282x%2By=200%2Cxy=3200%29\".\r
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\n" ); document.write( "\n" ); document.write( "\"y=200-2x\"
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\n" ); document.write( "\"x%28200-2x%29=3200\"
\n" ); document.write( "\"-2x%5E2%2B200x=3200\"
\n" ); document.write( "\"-2x%5E2%2B200x-3200=0\"
\n" ); document.write( "\"2x%5E2-200x%2B3200=0\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28x%5E2-100x%2B1600=0%29\"\r
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\n" ); document.write( "\n" ); document.write( "Discriminant, \"10000-4%2A1600=10000-6400=3600=60%5E2\";\r
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\n" ); document.write( "\n" ); document.write( "\"highlight%28x=%28100%2B-+60%29%2F2%29\"\r
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\n" ); document.write( "x=20 and y=160, or x=80 and y=40
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