document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=120314>Question 120314</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One side of a rectangular stage is 2meters longer than the other. If the diagonal is 10 meters, then what are the lengths of the sides? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #88189 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=88189\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let L=length , W=width\r<BR>\n" );
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document.write( "Since one side (say the length) \"is 2meters longer than the other\" then this means\r<BR>\n" );
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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;\" >\r<BR>\n" );
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document.write( "Now using Pythagoreans theorem, we can set up a relationship between the length, width, and the diagonal:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5E2%2BW%5E2=10%5E2 ALIGN=MIDDLE  ALT=\"L%5E2%2BW%5E2=10%5E2\"   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=%28W%2B2%29%5E2%2BW%5E2=10%5E2 ALIGN=MIDDLE  ALT=\"%28W%2B2%29%5E2%2BW%5E2=10%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <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;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5E2%2B4W%2B4%2BW%5E2=10%5E2 ALIGN=MIDDLE  ALT=\"W%5E2%2B4W%2B4%2BW%5E2=10%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Foil\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5E2%2B4W%2B4%2BW%5E2=100 ALIGN=MIDDLE  ALT=\"W%5E2%2B4W%2B4%2BW%5E2=100\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square 10 to get 100\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5E2%2B4W%2B4%2BW%5E2-100=0 ALIGN=MIDDLE  ALT=\"W%5E2%2B4W%2B4%2BW%5E2-100=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 100 from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2W%5E2%2B4W-96=0 ALIGN=MIDDLE  ALT=\"2W%5E2%2B4W-96=0\"   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=2%28w%2B8%29%28w-6%29=0 ALIGN=MIDDLE  ALT=\"2%28w%2B8%29%28w-6%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the left side \r<BR>\n" );
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document.write( "Now set each factor equal to zero:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%2B8=0 ALIGN=MIDDLE  ALT=\"w%2B8=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w-6=0 ALIGN=MIDDLE  ALT=\"w-6=0\"   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=w=-8 ALIGN=MIDDLE  ALT=\"w=-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=6 ALIGN=MIDDLE  ALT=\"w=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >    Now solve for w in each case\r<BR>\n" );
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document.write( "So our possible answers are \r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=-8 ALIGN=MIDDLE  ALT=\"w=-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=6 ALIGN=MIDDLE  ALT=\"w=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "However, since a negative width doesn't make sense, our only solution is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=6 ALIGN=MIDDLE  ALT=\"w=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "So the width is 6 meters. Now let's find the length \r<BR>\n" );
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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;\" > Start with the given equation\r<BR>\n" );
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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;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=6 ALIGN=MIDDLE  ALT=\"W=6\"   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=8 ALIGN=MIDDLE  ALT=\"L=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add\r<BR>\n" );
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document.write( "So the length is 8 meters </SPAN>\n" );
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