document.write( "Question 1152916: The length of a rectangle is 7cm less than twice the width. Find the perimeter of the rectangle if it’s area is 72cm squared \n" ); document.write( "

Algebra.Com's Answer #775065 by ikleyn(52781) $\"\"$ $\"About$

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

\r\n" );
document.write( "The equation is \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    w*(2w-7) = 72.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Multiply both sides by 2\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    2w*(2w-7) = 144.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Find two integer numbers, whose product is 144 and the difference is 7.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "In 6 seconds, you will find \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    2w = 16,  2w-7 = 9  (16*9 = 144).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So, the answer is: the width = 16/2 = 8;  the length = 2*8-7 = 9;  the perimeter = 2*(8+9) = 2*17 = 34.\r\n" );
document.write( "

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

\n" );