document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=669064>Question 669064</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One formula stating the relationship between length l and width w of a rectangle of \"pleasing proportion\" is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+l%5E2=w%28l%2Bw%29+ ALIGN=MIDDLE  ALT=\"+l%5E2=w%28l%2Bw%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >. How should a 4 foot by 8 foot sheet of plasterboard be cut so that the result is a rectangle of “pleasing proportion” with a width of 4 feet?\r<BR>\n" );
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document.write( "I really don't even know where to start. Thanks! :-) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #416051 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=416051\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What they are saying is that you need to end<BR>\n" );
document.write( "up with a piece of plasterboard that is <BR>\n" );
document.write( "4 feet by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+l+ ALIGN=MIDDLE  ALT=\"+l+\"   DISABLED_style= \"max-width:90%; height:auto;\" > feet, and you need the formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+l%5E2+=+w%2A%28+l+%2B+w+%29+ ALIGN=MIDDLE  ALT=\"+l%5E2+=+w%2A%28+l+%2B+w+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > to find <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( "------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++w+=+4+ ALIGN=MIDDLE  ALT=\"++w+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+l%5E2+=+4%2A%28+l+%2B+4+%29+ ALIGN=MIDDLE  ALT=\"+l%5E2+=+4%2A%28+l+%2B+4+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+l%5E2+=+4l+%2B+16+ ALIGN=MIDDLE  ALT=\"+l%5E2+=+4l+%2B+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+l%5E2+-+4l+=+16+ ALIGN=MIDDLE  ALT=\"+l%5E2+-+4l+=+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Complete the square<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+l%5E2+-+4l+%2B+%28+%28-4%29%2F2+%29%5E2+=+%28+%28-4%29%2F2+%29%5E2+%2B+16+ ALIGN=MIDDLE  ALT=\"+l%5E2+-+4l+%2B+%28+%28-4%29%2F2+%29%5E2+=+%28+%28-4%29%2F2+%29%5E2+%2B+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+l%5E2+-+4l+%2B+4+=+4+%2B+16+ ALIGN=MIDDLE  ALT=\"+l%5E2+-+4l+%2B+4+=+4+%2B+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+l+-+2+%29%5E2+=+%28+sqrt%2820%29+%29%5E2+ ALIGN=MIDDLE  ALT=\"+%28+l+-+2+%29%5E2+=+%28+sqrt%2820%29+%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+i+-+2+=+sqrt%2820%29+ ALIGN=MIDDLE  ALT=\"+i+-+2+=+sqrt%2820%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+l+=+2+%2B+2%2Asqrt%285%29+ ALIGN=MIDDLE  ALT=\"+l+=+2+%2B+2%2Asqrt%285%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+l+=+2+%2B+4.472+ ALIGN=MIDDLE  ALT=\"+l+=+2+%2B+4.472+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+l+=+6.472+ ALIGN=MIDDLE  ALT=\"+l+=+6.472+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The dimensions are 4' x 6.472'<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+l%5E2+=+4%2A%28+l+%2B+4+%29+ ALIGN=MIDDLE  ALT=\"+l%5E2+=+4%2A%28+l+%2B+4+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+41.887+=+4%2A10.472+ ALIGN=MIDDLE  ALT=\"+41.887+=+4%2A10.472+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+41.887+=+41.888+ ALIGN=MIDDLE  ALT=\"+41.887+=+41.888+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Looks close enough\r<BR>\n" );
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document.write( " </SPAN>\n" );
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