document.write( "Question 823868: A rectangular carpet has an area of 81 sq. metre and a perimetre of 30 metre. The length of its diagonal is- \n" ); document.write( "
Algebra.Com's Answer #495920 by josgarithmetic(39617)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "x and y are the dimensions of the rectangle.
\n" ); document.write( "\"xy=81\" and 2x+2y=30 which means, \"x%2By=15\".\r
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\n" ); document.write( "\n" ); document.write( "More than one way to go from there...\r
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\n" ); document.write( "\n" ); document.write( "y=15-x;
\n" ); document.write( "x(15-x)=81
\n" ); document.write( "15x-x^2=81
\n" ); document.write( "x^2-15x+81=0 seems not factorable.\r
\n" ); document.write( "\n" ); document.write( "x=(15+sqrt(15^2-4*81))/(2), contains imaginary component.\r
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\n" ); document.write( "\n" ); document.write( "Either I made a fundamental mistake or your situation described is impossible.
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