document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=64251>Question 64251</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The perimeter of a rectangle is 76 meters.  the length is 16 meters less than twice the width.  find the length of the rectangle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #44910 by </B><A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.com><B>praseenakos@yahoo.com(507)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.com><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=praseenakos@yahoo.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=44910\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> QUESTION:\r<BR>\n" );
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document.write( "The perimeter of a rectangle is 76 meters.  the length is 16 meters less than twice the width.  find the length of the rectangle.\r<BR>\n" );
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document.write( "ANSWER:\r<BR>\n" );
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document.write( "Perimeter of a rectangle is given by the formula,\r<BR>\n" );
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document.write( " P = 2 ( length + width)\r<BR>\n" );
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document.write( "That is ,\r<BR>\n" );
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document.write( "P = 2 ( L + W ) -----------------------(1)\r<BR>\n" );
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document.write( "Here we have,\r<BR>\n" );
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document.write( "P = 76 meters.\r<BR>\n" );
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document.write( "Length is given as 16 meters less than twice the width( that is lenth is given in terms of width)\r<BR>\n" );
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document.write( "So let's take,\r<BR>\n" );
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document.write( "W = x meters.\r<BR>\n" );
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document.write( "Twice of width = 2*x = 2x meters.\r<BR>\n" );
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document.write( "So we can take length as,\r<BR>\n" );
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document.write( "L = (2x - 16) meters\r<BR>\n" );
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document.write( "Now substitute all these values in equation (1)\r<BR>\n" );
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document.write( "==> 76 = 2 ( 2x - 16 + x )\r<BR>\n" );
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document.write( "==> 76 = 2 ( 2x + x -16)\r<BR>\n" );
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document.write( "==> 76 = 2 ( 3x -16 )\r<BR>\n" );
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document.write( "Now divide both sides of the equation by 2 \r<BR>\n" );
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document.write( "==> 76/2 = { 2 ( 3x -16 )}/2\r<BR>\n" );
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document.write( "==> 38  = 3x - 16\r<BR>\n" );
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document.write( "Add 16 to both sides,\r<BR>\n" );
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document.write( "==> 38 + 16 = 3x -16 + 16\r<BR>\n" );
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document.write( "==> 54 = 3x\r<BR>\n" );
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document.write( "Now again divide both sides by 3\r<BR>\n" );
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document.write( "==> 54/3 = 3x/3\r<BR>\n" );
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document.write( "==> 18 = x\r<BR>\n" );
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document.write( "Thus we got the value of x which is the width of the rectangle.\r<BR>\n" );
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document.write( "W = 18 meters\r<BR>\n" );
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document.write( "==>  L = 2x - 16  =  2*18 - 16  =  36 - 16  =  20 meters.\r<BR>\n" );
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document.write( "So length of the rectangle is 20 meters.\r<BR>\n" );
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document.write( "You can check  your answer by giving values of L and W in  equation (1) and find whether is is equal to 76 or not.\r<BR>\n" );
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document.write( "Hope you understood.\r<BR>\n" );
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document.write( "Regards.\r<BR>\n" );
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document.write( "praseenakos@yahoo.co.in\r<BR>\n" );
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document.write( " </SPAN>\n" );
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