document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=887175>Question 887175</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangle, with a diagonal of length 10 inches,has length two inches longer than  it's width.what is 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 #536425 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=536425\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A rectangle, with a diagonal of length <i> variable c</i>, 10 inches,has length two inches longer than  it's width, <i> L=w+2</i>.  what is the length of the rectangle? \r<BR>\n" );
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document.write( "Pythagorean Theorem will help.  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28w%5E2%2B%28w%2B2%29%5E2=10%5E2%29 ALIGN=MIDDLE  ALT=\"highlight_green%28w%5E2%2B%28w%2B2%29%5E2=10%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but you could rework the equation to use L and not w.  But continuing,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5E2%2Bw%5E2%2B4w%2B4=100 ALIGN=MIDDLE  ALT=\"w%5E2%2Bw%5E2%2B4w%2B4=100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2w%5E2%2B4w=96 ALIGN=MIDDLE  ALT=\"2w%5E2%2B4w=96\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5E2%2B2w=48 ALIGN=MIDDLE  ALT=\"w%5E2%2B2w=48\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5E2%2B2w-48=0 ALIGN=MIDDLE  ALT=\"w%5E2%2B2w-48=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28w-6%29%28w%2B8%29=0 ALIGN=MIDDLE  ALT=\"%28w-6%29%28w%2B8%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The meaningful answer for w is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28w=6%29 ALIGN=MIDDLE  ALT=\"highlight%28w=6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "This will mean for L,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=w%2B2 ALIGN=MIDDLE  ALT=\"L=w%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=6%2B2 ALIGN=MIDDLE  ALT=\"L=6%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28L=8%29 ALIGN=MIDDLE  ALT=\"highlight%28L=8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This part was obviously wrong.....<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%282w%5E2%2B4w%2B16-100=0%29 ALIGN=MIDDLE  ALT=\"cross%282w%5E2%2B4w%2B16-100=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >----THIS was the mistake.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2w%5E2%2B4w-84=0 ALIGN=MIDDLE  ALT=\"2w%5E2%2B4w-84=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5E2%2B2w-42=0 ALIGN=MIDDLE  ALT=\"w%5E2%2B2w-42=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Discriminant, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%284-4%2A%28-42%29=4%2B4%2A42=172%29 ALIGN=MIDDLE  ALT=\"cross%284-4%2A%28-42%29=4%2B4%2A42=172%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=172=43%2A4 ALIGN=MIDDLE  ALT=\"172=43%2A4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=%28-2%2Bsqrt%2843%2A4%29%29%2F2 ALIGN=MIDDLE  ALT=\"w=%28-2%2Bsqrt%2843%2A4%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >---Choosing the PLUS form, because the negative solution of w has no meaning for us here....<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=%28-2%2B2sqrt%2843%29%29%2F2 ALIGN=MIDDLE  ALT=\"w=%28-2%2B2sqrt%2843%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%28w=-1%2Bsqrt%2843%29%29 ALIGN=MIDDLE  ALT=\"cross%28w=-1%2Bsqrt%2843%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The description gave L=w+2.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=-1%2Bsqrt%2843%29%2B2 ALIGN=MIDDLE  ALT=\"L=-1%2Bsqrt%2843%29%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%28L=1%2Bsqrt%2843%29%29 ALIGN=MIDDLE  ALT=\"cross%28L=1%2Bsqrt%2843%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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