document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=91543>Question 91543</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangle has a perimeter of 78centimeters. The length of the rectangle is 11 centimeters longer than triple the width. Find the dimensions 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 #66544 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=66544\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Question:\r<BR>\n" );
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document.write( "A rectangle has a perimeter of 78centimeters. The length of the rectangle is 11 centimeters longer than triple the width. Find the dimensions of the rectangle.\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "Given:\r<BR>\n" );
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document.write( "perimeter = 78centimeters\r<BR>\n" );
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document.write( "suppose width = x centimeters\r<BR>\n" );
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document.write( "tripple the width = 3x\r<BR>\n" );
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document.write( "11 centimeter longer than tripple the width = 3x + 11\r<BR>\n" );
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document.write( "That is length = (3x + 11 ) centimeters\r<BR>\n" );
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document.write( "Perimeter is given by the formula,\r<BR>\n" );
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document.write( "Perimeter = 2(length + width)\r<BR>\n" );
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document.write( "That is:\r<BR>\n" );
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document.write( "  78 = 2( 3x + 11 + x)\r<BR>\n" );
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document.write( "==> 78 = 2(4x +11)\r<BR>\n" );
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document.write( "==> 78 = 2* 4x + 2*11\r<BR>\n" );
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document.write( "==> 78 = 8x + 22\r<BR>\n" );
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document.write( "Subtract 22 from both sides....\r<BR>\n" );
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document.write( "==> 78 - 22 = 8x + 22 - 22\r<BR>\n" );
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document.write( "==> 56 = 8x\r<BR>\n" );
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document.write( "Divide both sides by 8\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=56%2F8+=+8x%2F8 ALIGN=MIDDLE  ALT=\"56%2F8+=+8x%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "==> 7 = x\r<BR>\n" );
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document.write( "That is width = 7 centimeters.\r<BR>\n" );
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document.write( "Then length = 3x + 11 = 3*7 + 11 = 21 + 11 = 32 centimeter.\r<BR>\n" );
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document.write( "That is dimensions of the rectangle is;\r<BR>\n" );
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document.write( "length = 32 cm and\r<BR>\n" );
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document.write( "width = 7 cm\r<BR>\n" );
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document.write( "To check your answer, plugg these values in the given formula of perimeter of the rectangle, P = 2(length+width) then you will  get the answer 78 centimeters.\r<BR>\n" );
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document.write( "Hope you found the explanation useful.\r<BR>\n" );
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document.write( "Regards.\r<BR>\n" );
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document.write( "Praseena.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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