document.write( "Question 1182008: The length of a rectangle is 5m less than twice the width, and the area of the rectangle is $\"52m%5E2\"$ . Find the dimensions of the rectangle.\r
\n" ); document.write( "\n" ); document.write( "I need help finding the length and width please \n" ); document.write( "

Algebra.Com's Answer #811971 by ikleyn(52804) $\"\"$ $\"About$

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

\r\n" );
document.write( "Let w be the width, in meters;\r\n" );
document.write( "\r\n" );
document.write( "then the length is (2w-5) meters, according to the condition.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Write the area equation\r\n" );
document.write( "\r\n" );
document.write( "    w*(2w-5) = 52 m^2.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "From the equation,\r\n" );
document.write( "\r\n" );
document.write( "    2w^2 - 5w - 52 = 0.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Use the quadratic formula\r\n" );
document.write( "\r\n" );
document.write( "     =  =  = .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "You need the positive root  w =  = 6.5 m.     \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  The width is 6.5 meters;  the length is  2*6.5 - 5 = 8 meters.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "CHECK.   6.5*8 = 52 m^2.    ! Correct !\r\n" );
document.write( "

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

\n" );