document.write( "Question 935989: A rancher wants to use 400 feet of fencing to enclose a rectangular area of 5100 square feet. What dimensions should the rectangle have? \n" ); document.write( "
Algebra.Com's Answer #569399 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
Dimensions x and y and are unknown.
\n" ); document.write( "A and p are known area and perimeter.\r
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\n" ); document.write( "\n" ); document.write( "\"system%28xy=A%2C2x%2B2y=p%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"2y=p-2x\"
\n" ); document.write( "\"y=p%2F2-x\"
\n" ); document.write( "-
\n" ); document.write( "xy=A
\n" ); document.write( "\"x%28p%2F2-x%29=A\"
\n" ); document.write( "\"%28p%2F2%29x-x%5E2=A\"
\n" ); document.write( "\"px-2x%5E2=2A\"
\n" ); document.write( "\"-2x%5E2%2Bpx=2A\"
\n" ); document.write( "\"2x%5E2-px=-2A\"
\n" ); document.write( "\"2x%5E2-px%2B2A=0\", you can probably factor the quadratic member when the values for p and A are used, but you do not always know. Examples vary.\r
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\n" ); document.write( "\n" ); document.write( "\"x=%28p%2B-+sqrt%28p%5E2-4%2A2%2A2A%29%29%2F%282%2A2%29\"
\n" ); document.write( "\"highlight%28x=%28p%2B-+sqrt%28p%5E2-16A%29%29%2F%282%2A2%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "I leave the rest of the work and decisions to you.
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