document.write( "Question 45215: A farmer has a rectangular garden plot surrounded by 200 ft of fence. Find the lenght and with of the gfarden if its area is 2400ft(square) \n" ); document.write( "

Algebra.Com's Answer #30043 by Nate(3500) $\"\"$ $\"About$

You can put this solution on YOUR website!
2w + 2l = perimeter
\n" ); document.write( "2w = 200 - 2l
\n" ); document.write( "w = 100 - l
\n" ); document.write( "lw = area
\n" ); document.write( "(100 - l)(l) = 2400
\n" ); document.write( "-l^2 + 100l - 2400 = 0
\n" ); document.write( "l^2 - 100l + 2400 = 0
\n" ); document.write( "(l - 40)(l - 60) = 0
\n" ); document.write( "length = 40 or 60
\n" ); document.write( "plug
\n" ); document.write( "w x 40
\n" ); document.write( "w = 100 - l
\n" ); document.write( "w = 100 - 40
\n" ); document.write( "w = 60
\n" ); document.write( "60 x 40 ? width is shorter than length (this is a not true answer)
\n" ); document.write( "True Answer
\n" ); document.write( "w x 60
\n" ); document.write( "w = 100 - l
\n" ); document.write( "w = 100 - 60
\n" ); document.write( "w = 40
\n" ); document.write( "40 x 60 \n" ); document.write( "

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