document.write( "Question 1150253: The length of a rectangle is 6 meters longer than the width. If the area is 40 square meters, find the rectangle’s dimensions. Round to the nearest tenth of a meter. \n" ); document.write( "

Algebra.Com's Answer #771634 by ikleyn(52943) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "1.  \"Trial and error\" solution (by guessing) is 4 meters (width) and 10 meters (length) and takes 4 seconds.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "2.  Algebra solution is via this equation\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "        x*(x+6) = 40\r\n" );
document.write( "\r\n" );
document.write( "        x^2 + 6x - 40 = 0\r\n" );
document.write( "\r\n" );
document.write( "        (x+10)*(x-4) = 0\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    giving the same answer x= 4 meters for the width  and  (x+6) = (4+6) = 10 meters for the length.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );