document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=194145>Question 194145</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The perimeter of a rectangle is six times the width.  If the length were increased by 4 inches and the width were increased by 7 inches, then the perimeter would be 160 inches.  What is the width?\r<BR>\n" );
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document.write( "P = 2l + 2w<BR>\n" );
document.write( "160 = (2l + 4) +(2w +7)            When I substitute, it is just a mess.<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 #145726 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=145726\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let P = perimeter, L=length, and W=width\r<BR>\n" );
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document.write( "Note: the lower case letter \"l\" looks very similar to the number 1. So I'm using an uppercase L. So I figured to use uppercase for all the variables.\r<BR>\n" );
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document.write( "Now let's get the translations down:\r<BR>\n" );
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document.write( "\"The perimeter of a rectangle is six times the width\" translates to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=6W ALIGN=MIDDLE  ALT=\"P=6W\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Also, \"If the length were increased by 4 inches and the width were increased by 7 inches, then the perimeter would be 160 inches\" translates to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=160=2%28L%2B4%29%2B2%28W%2B7%29 ALIGN=MIDDLE  ALT=\"160=2%28L%2B4%29%2B2%28W%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Finally, this is not explicitly stated, but the formula for the perimeter of any rectangle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P+=+2L+%2B+2W ALIGN=MIDDLE  ALT=\"P+=+2L+%2B+2W\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P+=+2L+%2B+2W ALIGN=MIDDLE  ALT=\"P+=+2L+%2B+2W\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given perimeter formula\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6W+=+2L+%2B+2W ALIGN=MIDDLE  ALT=\"6W+=+2L+%2B+2W\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=6W ALIGN=MIDDLE  ALT=\"P=6W\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6W+-+2W+=+2L+ ALIGN=MIDDLE  ALT=\"6W+-+2W+=+2L+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 2W from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4W+=+2L+ ALIGN=MIDDLE  ALT=\"4W+=+2L+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2L+=+4W+ ALIGN=MIDDLE  ALT=\"2L+=+4W+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+%284W%29%2F2+ ALIGN=MIDDLE  ALT=\"L+=+%284W%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 2 to isolate L\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+2W+ ALIGN=MIDDLE  ALT=\"L+=+2W+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=160=2%28L%2B4%29%2B2%28W%2B7%29 ALIGN=MIDDLE  ALT=\"160=2%28L%2B4%29%2B2%28W%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Move onto the second equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=160=2L%2B8%2B2W%2B14 ALIGN=MIDDLE  ALT=\"160=2L%2B8%2B2W%2B14\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=160=2L%2B2W%2B22 ALIGN=MIDDLE  ALT=\"160=2L%2B2W%2B22\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=160=2%282W%29%2B2W%2B22 ALIGN=MIDDLE  ALT=\"160=2%282W%29%2B2W%2B22\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+2W+ ALIGN=MIDDLE  ALT=\"L+=+2W+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=160=4W%2B2W%2B22 ALIGN=MIDDLE  ALT=\"160=4W%2B2W%2B22\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=160=6W%2B22 ALIGN=MIDDLE  ALT=\"160=6W%2B22\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=160-22=6W ALIGN=MIDDLE  ALT=\"160-22=6W\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 22 from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=138=6W ALIGN=MIDDLE  ALT=\"138=6W\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=138%2F6=W ALIGN=MIDDLE  ALT=\"138%2F6=W\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 6 to isolate W\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=23=W ALIGN=MIDDLE  ALT=\"23=W\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce\r<BR>\n" );
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document.write( "So the width is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=23 ALIGN=MIDDLE  ALT=\"W=23\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=2W ALIGN=MIDDLE  ALT=\"L=2W\"   DISABLED_style= \"max-width:90%; height:auto;\" > Go back to the previously isolated formula\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=2%2823%29 ALIGN=MIDDLE  ALT=\"L=2%2823%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=23 ALIGN=MIDDLE  ALT=\"W=23\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=46 ALIGN=MIDDLE  ALT=\"L=46\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "So the length is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=46 ALIGN=MIDDLE  ALT=\"L=46\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So the width is 23 inches and the length is 46 inches. </SPAN>\n" );
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