document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1003494>Question 1003494</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a rectangle, one side is 1/3 of the length of the other side and the length of a diagonal is 9 feet, how long are the sides of the rectangle?<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 #620184 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=620184\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "one side is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the length of the other side:<BR>\n" );
document.write( "if longer side is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > and shorter side is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then we have:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=%281%2F3%29a ALIGN=MIDDLE  ALT=\"b=%281%2F3%29a\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........eq.1\r<BR>\n" );
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document.write( "and if the length of a diagonal is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=9ft ALIGN=MIDDLE  ALT=\"d=9ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we need to use Pythagorean theorem because two sides of rectangle and its diagonal form right angle triangle\r<BR>\n" );
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document.write( "so, we have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5E2=a%5E2%2Bb%5E2 ALIGN=MIDDLE  ALT=\"d%5E2=a%5E2%2Bb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > from eq.1, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d ALIGN=MIDDLE  ALT=\"d\"   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=%289ft%29%5E2=a%5E2%2B%28%281%2F3%29a%29%5E2 ALIGN=MIDDLE  ALT=\"%289ft%29%5E2=a%5E2%2B%28%281%2F3%29a%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >........solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   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=81ft%5E2=a%5E2%2B%281%2F9%29a%5E2 ALIGN=MIDDLE  ALT=\"81ft%5E2=a%5E2%2B%281%2F9%29a%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=81ft%5E2=9a%5E2%2F9%2Ba%5E2%2F9 ALIGN=MIDDLE  ALT=\"81ft%5E2=9a%5E2%2F9%2Ba%5E2%2F9\"   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=81ft%5E2=10a%5E2%2F9 ALIGN=MIDDLE  ALT=\"81ft%5E2=10a%5E2%2F9\"   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=81ft%5E2%2A9=10a%5E2 ALIGN=MIDDLE  ALT=\"81ft%5E2%2A9=10a%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=729ft%5E2=10a%5E2 ALIGN=MIDDLE  ALT=\"729ft%5E2=10a%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=729ft%5E2%2F10=a%5E2 ALIGN=MIDDLE  ALT=\"729ft%5E2%2F10=a%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=72.9ft%5E2=a%5E2 ALIGN=MIDDLE  ALT=\"72.9ft%5E2=a%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=a=sqrt%2872.9ft%5E2%29 ALIGN=MIDDLE  ALT=\"a=sqrt%2872.9ft%5E2%29\"   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=a=8.54ft ALIGN=MIDDLE  ALT=\"a=8.54ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=%281%2F3%29a=8.54ft%2F3=2.85ft ALIGN=MIDDLE  ALT=\"b=%281%2F3%29a=8.54ft%2F3=2.85ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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