document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1018183>Question 1018183</A>: <I><SPAN STYLE=\"word-break: break-all;\"> We are stumped, I am trying to help my daughter and I have no clue help please....\r<BR>\n" );
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document.write( "The length of a rectangle is 1 inch more than twice its width.  The value of the area of the rectangle (in square inches) is 5 more than the value of the perimeter of the rectangle (in inches). find the width. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #634351 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=634351\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> They are doing something a little bit illegal here<BR>\n" );
document.write( "and you should be aware of it. They are saying<BR>\n" );
document.write( "an area ( in square inches ) is equal to a perimeter<BR>\n" );
document.write( "( in inches ). <BR>\n" );
document.write( "You can only do this if you say the VALUES are equal,<BR>\n" );
document.write( "but you can't make an equation and say <BR>\n" );
document.write( "[ inches ] = [ square inches ]<BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "Let the length of the rectangle = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+L+ ALIGN=MIDDLE  ALT=\"+L+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let the width of the rectangle = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+W+ ALIGN=MIDDLE  ALT=\"+W+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+L+=+2W+%2B+1+ ALIGN=MIDDLE  ALT=\"+L+=+2W+%2B+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Let the area of the rectangle  = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+ ALIGN=MIDDLE  ALT=\"+A+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let the perimeter of the rectangle  = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P+ ALIGN=MIDDLE  ALT=\"+P+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+L%2AW+ ALIGN=MIDDLE  ALT=\"+A+=+L%2AW+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
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;\" ><BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "They are saying:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+P+%2B+5+ ALIGN=MIDDLE  ALT=\"+A+=+P+%2B+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( even though the units don't match )<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+L%2AW+=+2L+%2B+2W+%2B+5+ ALIGN=MIDDLE  ALT=\"+L%2AW+=+2L+%2B+2W+%2B+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute (1) into (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+2W+%2B+1+%29%2AW+=+2%2A%28+2W+%2B+1+%29+%2B+2W+%2B+5+ ALIGN=MIDDLE  ALT=\"+%28+2W+%2B+1+%29%2AW+=+2%2A%28+2W+%2B+1+%29+%2B+2W+%2B+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2W%5E2+%2B+W+=+4W+%2B+2+%2B+2W+%2B+5+ ALIGN=MIDDLE  ALT=\"+2W%5E2+%2B+W+=+4W+%2B+2+%2B+2W+%2B+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2W%5E2+%2B+W+=+6W+%2B7+ ALIGN=MIDDLE  ALT=\"+2W%5E2+%2B+W+=+6W+%2B7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2W%5E2+-+5W+-+7+=+0+ ALIGN=MIDDLE  ALT=\"+2W%5E2+-+5W+-+7+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use the quadratic formula to solve<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+W+=+%28+-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"+W+=+%28+-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+2+ ALIGN=MIDDLE  ALT=\"+a+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+-5+ ALIGN=MIDDLE  ALT=\"+b+=+-5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+-7+ ALIGN=MIDDLE  ALT=\"+c+=+-7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+W+=+%28+-%28-5%29+%2B-+sqrt%28+%28-5%29%5E2+-+4%2A2%2A%28-7%29+%29%29+%2F+%282%2A2%29+ ALIGN=MIDDLE  ALT=\"+W+=+%28+-%28-5%29+%2B-+sqrt%28+%28-5%29%5E2+-+4%2A2%2A%28-7%29+%29%29+%2F+%282%2A2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+W+=+%28+5+%2B-+sqrt%28+25+%2B+56+%29%29+%2F4+ ALIGN=MIDDLE  ALT=\"+W+=+%28+5+%2B-+sqrt%28+25+%2B+56+%29%29+%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+W+=+%28+5+%2B-+sqrt%28+81+%29%29+%2F4+ ALIGN=MIDDLE  ALT=\"+W+=+%28+5+%2B-+sqrt%28+81+%29%29+%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+W+=+5%2F4+%2B+9%2F4+ ALIGN=MIDDLE  ALT=\"+W+=+5%2F4+%2B+9%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+W+=+14%2F4+ ALIGN=MIDDLE  ALT=\"+W+=+14%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+W+=+7%2F2+ ALIGN=MIDDLE  ALT=\"+W+=+7%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( note that I can't use the negative square root )<BR>\n" );
document.write( "The width is 3.5 in<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+L+=+2W+%2B+1+ ALIGN=MIDDLE  ALT=\"+L+=+2W+%2B+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+L+=+2%2A%287%2F2%29+%2B+1+ ALIGN=MIDDLE  ALT=\"+L+=+2%2A%287%2F2%29+%2B+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+L+-+8+ ALIGN=MIDDLE  ALT=\"+L+-+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+L%2AW+=+2L+%2B+2W+%2B+5+ ALIGN=MIDDLE  ALT=\"+L%2AW+=+2L+%2B+2W+%2B+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+L%2A%287%2F2%29+=+2L+%2B+2%2A%287%2F2%29+%2B+5+ ALIGN=MIDDLE  ALT=\"+L%2A%287%2F2%29+=+2L+%2B+2%2A%287%2F2%29+%2B+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%287%2F2%29%2AL+=+2L+%2B+12+ ALIGN=MIDDLE  ALT=\"+%287%2F2%29%2AL+=+2L+%2B+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%287%2F2%29%2AL+-+%284%2F2%29%2AL+=+12+ ALIGN=MIDDLE  ALT=\"+%287%2F2%29%2AL+-+%284%2F2%29%2AL+=+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283%2F2%29%2AL+=+12+ ALIGN=MIDDLE  ALT=\"+%283%2F2%29%2AL+=+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+L+=+%282%2F3%29%2A12+ ALIGN=MIDDLE  ALT=\"+L+=+%282%2F3%29%2A12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+L+=+8+ ALIGN=MIDDLE  ALT=\"+L+=+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );