document.write( "Question 804220: at a tennis club, a 1500 ft^2 rectangular area is partitioned into three rectangular courts of equal size. A total of 800 feet of fencing is used to enclose the three courts, including the interior sides \n" ); document.write( "
Algebra.Com's Answer #484676 by josgarithmetic(39617)\"\" \"About 
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x and y dimensions.
\n" ); document.write( "x is divided into three equal lengths, so \"%281%2F3%29x\".\r
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\n" ); document.write( "\n" ); document.write( "Each court part is area \"%281%2F3%29xy\", and the entire rectangular area for these court parts is \"xy=1500\" \"ft%5E2\".\r
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\n" ); document.write( "\n" ); document.write( "Total fencing used is \"x%2By%2B2y=x%2B3y=800\" ft.\r
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\n" ); document.write( "\n" ); document.write( "The system is symbolically described with equations:
\n" ); document.write( "\"x%2B3y=800\" and \"xy=1500\".
\n" ); document.write( "Fence length equation allows \"x=800-3y\". Substitute...
\n" ); document.write( "\"%28800-3y%29y=1500\"
\n" ); document.write( "\"800y-3y%5E2=1500\"
\n" ); document.write( "\"800y-1500-3y%5E2=0\"
\n" ); document.write( "\"-800y%2B1500%2B3y%5E2=0\" when multiplied both sides by -1.
\n" ); document.write( "\"3y%5E2-800y%2B1500=0\"\r
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\n" ); document.write( "\n" ); document.write( "General Solution to Quadratic Formula:
\n" ); document.write( "\"y=%28800%2Bsqrt%28800%5E2-4%2A3%2A%281500%29%29%29%2F%282%2A3%29\"
\n" ); document.write( "\"y=%28800%2Bsqrt%28622000%29%29%2F%282%2A3%29\"\r
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\n" ); document.write( "\n" ); document.write( "scratchwork...8*77750=8*50*1555=8*50*5*311...
\n" ); document.write( "2*2*2*2*5*5*5*311...
\n" ); document.write( "sqrt(622000)=20*sqrt(5*311)...\r
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\n" ); document.write( "\n" ); document.write( "\"y=%28800%2B20%2Asqrt%281555%29%29%2F%282%2A3%29\"
\n" ); document.write( "\"y=%28400%2B10%2Asqrt%281555%29%29%2F3\" relatively simple radical form.\r
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\n" ); document.write( "\n" ); document.write( "You can finish for finding x value.
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