document.write( "Question 704981: 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 1275 ft2. \n" ); document.write( "

Algebra.Com's Answer #434379 by josgarithmetic(39616) $\"\"$ $\"About$

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Rectangle. Perimeter=200 ft. Area=1275 ft^2.
\n" ); document.write( "x, y, length, width.\r
\n" ); document.write( "\n" ); document.write( "System:
\n" ); document.write( "2(x+y)=200
\n" ); document.write( "xy=1275\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x+y=100, divided perim. equation by 2.
\n" ); document.write( "y=100-x
\n" ); document.write( "substitute to get x(100-x)=1275
\n" ); document.write( "100x-x^2-1275=0\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Solution to quadratic equation:
\n" ); document.write( " $\"x=%281%2B%281-4%2A100%2A%28-1275%29%29%5E%281%2F2%29%29%2F%282%2A100%29\"$
\n" ); document.write( "OR
\n" ); document.write( " $\"x=%281-%281-4%2A100%2A%28-1275%29%29%5E%281%2F2%29%29%2F%282%2A100%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "One of those will work and one will not. \n" ); document.write( "

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