document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1067641>Question 1067641</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of a rectangle is <BR>\n" );
document.write( "44 <BR>\n" );
document.write( "inches <BR>\n" );
document.write( "greater <BR>\n" );
document.write( "than twice the width. If the diagonal is 2 inches more than the length, find the dimensions <BR>\n" );
document.write( "Length 2w+44<BR>\n" );
document.write( "Diagonal 2w+46 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #682752 by </B><A HREF=/tutors/aboutme.mpl?userid=LinnW><B>LinnW(1048)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=LinnW><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=LinnW><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=682752\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The length and with are the legs of a triangle,<BR>\n" );
document.write( "and the diagonal is the hypotenuse.<BR>\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5E2+%2B+%282w%2B44%29%5E2+=+%282w%2B46%29%5E2 ALIGN=MIDDLE  ALT=\"w%5E2+%2B+%282w%2B44%29%5E2+=+%282w%2B46%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282w%2B46%29%5E2 ALIGN=MIDDLE  ALT=\"%282w%2B46%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > from each side.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5E2+%2B+%282w%2B44%29%5E2+-+%282w%2B46%29%5E2=+0 ALIGN=MIDDLE  ALT=\"w%5E2+%2B+%282w%2B44%29%5E2+-+%282w%2B46%29%5E2=+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+%2B+4w%5E2+%2B+176w+%2B+1936+-+%28+4w%5E2+%2B+184w+%2B+2116+%29+=+0 ALIGN=MIDDLE  ALT=\"w%5E2+%2B+4w%5E2+%2B+176w+%2B+1936+-+%28+4w%5E2+%2B+184w+%2B+2116+%29+=+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+%2B+-8w+-180+=+0 ALIGN=MIDDLE  ALT=\"w%5E2+%2B+-8w+-180+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "factoring,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28w%2B10%29%28w-18%29+=+0 ALIGN=MIDDLE  ALT=\"%28w%2B10%29%28w-18%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So w = -10 or w = 18<BR>\n" );
document.write( "Since we need a positive width, w = 18<BR>\n" );
document.write( "The length is 2w+44 = 2(18) + 44 = 36 + 44 = 80<BR>\n" );
document.write( "The diagonal is 2w + 46 = 2(18) + 46 = 36 + 46 = 82<BR>\n" );
document.write( "Notice that 18^2 + 80^2 = 82^2 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );