document.write( "Question 171365: A rectangular garden has a perimeter of 140m and an area of 1200m^2. Set up a quadratic equation and solve it algebraically to find the dimensions of the garden. \n" ); document.write( "
Algebra.Com's Answer #126515 by stanbon(75887)\"\" \"About 
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A rectangular garden has a perimeter of 140m and an area of 1200m^2. Set up a quadratic equation and solve it algebraically to find the dimensions of the garden.
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\n" ); document.write( "Perimeter = 2(L+W)
\n" ); document.write( "140 = 2(L+W)
\n" ); document.write( "L+W = 70
\n" ); document.write( "LW = 1200
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\n" ); document.write( "Substitute to get:
\n" ); document.write( "W(70-W) = 1200
\n" ); document.write( "-W^2 + 70W - 1200 = 0
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\n" ); document.write( "W = [-70 +- sqrt(70^2-4*-1*-1200)]/(-2)\r
\n" ); document.write( "\n" ); document.write( "W = [-70 +- sqrt(100)]/-2\r
\n" ); document.write( "\n" ); document.write( "Positive solution:
\n" ); document.write( "W = [-70-10]/(-2) = 40 meters (the width)
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\n" ); document.write( "Since L+W = 70, L = 30 meters (the length)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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