document.write( "Question 160264: A farmer has a rectangular garden plot surrounded by 200 ft of fence. Find the length and width of the garden if its area is 2400 square feet. \n" ); document.write( "
Algebra.Com's Answer #118244 by nerdybill(7384)\"\" \"About 
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A farmer has a rectangular garden plot surrounded by 200 ft of fence. Find the length and width of the garden if its area is 2400 square feet.
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\n" ); document.write( "Let x = width
\n" ); document.write( "and y = length
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\n" ); document.write( "The because he has 200 ft of fencing, this must lest than or equal to the perimeter:
\n" ); document.write( "2(x+y) = 200
\n" ); document.write( "x+y = 100
\n" ); document.write( "Solving for x:
\n" ); document.write( "x+y = 100
\n" ); document.write( "x = 100-y
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\n" ); document.write( "Area:
\n" ); document.write( "xy = 2400
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\n" ); document.write( "substitute x=100-y:
\n" ); document.write( "xy = 2400
\n" ); document.write( "(100-y)y = 2400
\n" ); document.write( "100y-y^2 = 2400
\n" ); document.write( "0 = y^2-100+2400
\n" ); document.write( "factoring:
\n" ); document.write( "0 = (y-40)(y-60)
\n" ); document.write( "y={60,40}
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\n" ); document.write( "length 60 feet
\n" ); document.write( "width 40 feet \n" ); document.write( "
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