document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=743804>Question 743804</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Monique wants to create a dog fence that has a perimeter of 112 feet.  She knows that she wants the length to be 16 feet longer than the width.  \r<BR>\n" );
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document.write( "Describe a method to calculate the length and the width of the fence.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #453063 by </B><A HREF=/tutors/aboutme.mpl?userid=davethejackal><B>davethejackal(28)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=davethejackal><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=davethejackal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=453063\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assuming the fence is rectangular in shape, then the total length of the perimeter is the length of all the sides = twice its length + twice its width<BR>\n" );
document.write( "=2l + 2w\r<BR>\n" );
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document.write( "Where w = width of the fence, l = length (both measured in feet)\r<BR>\n" );
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document.write( "\"a perimeter of 112 feet\" so<BR>\n" );
document.write( "2l + 2w = 112 | [1]\r<BR>\n" );
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document.write( "but \"she wants the length to be 16 feet longer than the width\" so<BR>\n" );
document.write( "l = w +16 | [2]\r<BR>\n" );
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document.write( "Hence [1] becomes 2l + 2w = 2(w+16) + 2w = 4w + 32 = 112<BR>\n" );
document.write( "Thus 4w = 112-32<BR>\n" );
document.write( "And w = (112-32) / 4 = 80/4 = 20\r<BR>\n" );
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document.write( "[2] gives us l = w +16 = 20+16 = 36\r<BR>\n" );
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document.write( "Checking that the total length is 112 using [1]<BR>\n" );
document.write( "2l+2w = 2(36)+2(20) = 72 + 40 = 112 QED\r<BR>\n" );
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document.write( "Hence the length of the fence is 32 ft and the width 20 ft. </SPAN>\n" );
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