document.write( "Question 1015954: 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 2475 ft^2 \n" ); document.write( "

Algebra.Com's Answer #632351 by Boreal(15235) $\"\"$ $\"About$

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The width can be x
\n" ); document.write( "The length can be 100-x
\n" ); document.write( "The perimeter is twice both or 2x+200-2x=200.
\n" ); document.write( "The area is x(100-x)=100x-x^2
\n" ); document.write( "That equals 2475 sq ft
\n" ); document.write( "-x^2+100x-2475=0
\n" ); document.write( "x^2-100x+2475=0, multiplying through by -1.
\n" ); document.write( "(x-45)(x-55)=0
\n" ); document.write( "x=45,55; width is 45 or 55
\n" ); document.write( "doesn't matter, because length is 45 or 55. If we make width the smaller, the length and width are 55*45. That gives the area and the perimeter. \n" ); document.write( "

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