document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=919246>Question 919246</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The perimeter of rectangular room is 32 m. The length of the diagonal is 8 m more than the width. Find the dimension of the room.<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 #557600 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=557600\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> w for width, L for length; and d for diagonal.<BR>\n" );
document.write( "2w+2L=32 and d=8+w.\r<BR>\n" );
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document.write( "The diagonal serves as hypotenuse and w and L serve as legs of a right-triangle.<BR>\n" );
document.write( "w^2+L^2=d^2.\r<BR>\n" );
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document.write( "Simplify the perimeter equation and substitute for d into the other two equations:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28w%2BL=16%2Cw%5E2%2BL%5E2=%28w%2B8%29%5E2%29 ALIGN=MIDDLE  ALT=\"system%28w%2BL=16%2Cw%5E2%2BL%5E2=%28w%2B8%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "Still needs a bit of simplification, and then just solve the system.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=16-w ALIGN=MIDDLE  ALT=\"L=16-w\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "Substitute...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5E2%2B%2816-w%29%5E2=w%5E2%2B16w%2B64 ALIGN=MIDDLE  ALT=\"w%5E2%2B%2816-w%29%5E2=w%5E2%2B16w%2B64\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2816-w%29%5E2=16w%2B64 ALIGN=MIDDLE  ALT=\"%2816-w%29%5E2=16w%2B64\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%5E2-32w%2Bw%5E2=16w%2B64 ALIGN=MIDDLE  ALT=\"16%5E2-32w%2Bw%5E2=16w%2B64\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5E2-32w%2B16%5E2-16w-64=0 ALIGN=MIDDLE  ALT=\"w%5E2-32w%2B16%5E2-16w-64=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%5E2-48w%2B16%5E2-64=0 ALIGN=MIDDLE  ALT=\"w%5E2-48w%2B16%5E2-64=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28w%5E2-48w%2B192=0%29 ALIGN=MIDDLE  ALT=\"highlight_green%28w%5E2-48w%2B192=0%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=w=%2848%2B-+sqrt%2848%5E2-4%2A192%29%29%2F2 ALIGN=MIDDLE  ALT=\"w=%2848%2B-+sqrt%2848%5E2-4%2A192%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=w=%2848%2B-+8%2Asqrt%286%29%29%2F2 ALIGN=MIDDLE  ALT=\"w=%2848%2B-+8%2Asqrt%286%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=highlight%28w=24%2B-+4%2Asqrt%286%29%29 ALIGN=MIDDLE  ALT=\"highlight%28w=24%2B-+4%2Asqrt%286%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which are actually the two dimensions. </SPAN>\n" );
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