document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=686696>Question 686696</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am not understanding how to start this word problem. We are supposed to be using quadratic equations. The problem is.....<BR>\n" );
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document.write( "     The length of a rectangle is 1cm more than twice it's width and 2cm less than the length of the diagonal of the rectangle. Find the dimensions of the rectangle.\r<BR>\n" );
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document.write( "I think the diagonal part is confusing me because we have never solved a problem with diagonal before.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #424878 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=424878\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The length of a rectangle is 1cm more than twice it's width and 2cm less than the length of the diagonal of the rectangle. Find the dimensions of the rectangle. <BR>\n" );
document.write( "**<BR>\n" );
document.write( "let x=width<BR>\n" );
document.write( "length=2x+1<BR>\n" );
document.write( "diagonal=&#8730;(width^2+length^2) (by the pythagorean theorem)<BR>\n" );
document.write( "=&#8730;[(x^2+(2x+1)^2]<BR>\n" );
document.write( "=&#8730;[x^2+4x^2+4x+1]<BR>\n" );
document.write( "=&#8730;(5x^2+4x+1)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "(2x+1)+2=diagonal<BR>\n" );
document.write( "2x+3=&#8730;(5x^2+4x+1)<BR>\n" );
document.write( "square both sides<BR>\n" );
document.write( "4x^2+12x+9=5x^2+4x+1<BR>\n" );
document.write( "x^2-8x-8=0<BR>\n" );
document.write( "solve for x by following quadratic formula:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a=1, b=-8, c=-8<BR>\n" );
document.write( "ans: <BR>\n" );
document.write( "x&#8776;8.9<BR>\n" );
document.write( "2x+1&#8776;18.8<BR>\n" );
document.write( "width&#8776;8.9 cm<BR>\n" );
document.write( "length&#8776;18.8 cm </SPAN>\n" );
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