document.write( "Question 1113519: A 1200 square foot rectangular garden is enclosed with 150 feet of fencing. Find the dimensions of the garden to the nearest tenth of a foot. \n" ); document.write( "
Algebra.Com's Answer #728564 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "\"xy=1200\" the area (length times width) is 1200
\n" ); document.write( "\"2x%2B2y+=+150\" the perimeter (twice length plus twice width) is 150

\n" ); document.write( "\"x%2By+=+75\"
\n" ); document.write( "\"y+=+75-x\"
\n" ); document.write( "\"x%2875-x%29+=+1200\"
\n" ); document.write( "\"75x-x%5E2+=+1200\"
\n" ); document.write( "\"x%5E2-75x%2B1200+=+0\"

\n" ); document.write( "Solve the equation using the quadratic formula. Because both equations are symmetric in the two variables, the two solutions to the quadratic equation will be the length and width of the rectangle.

\n" ); document.write( "Answers: 51.9 and 23.1
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