document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=926757>Question 926757</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangle has a length which is 14 cm longer than its width.  If the diagonal of the rectangle is 34 cm long, what is the perimeter of the rectangle? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #562451 by </B><A HREF=/tutors/aboutme.mpl?userid=srinivas.g><B>srinivas.g(540)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=srinivas.g><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=srinivas.g><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=562451\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let width be w cm<BR>\n" );
document.write( "length  = (w+14) cm<BR>\n" );
document.write( "Diagonal = 34 cm<BR>\n" );
document.write( "As per pythagorean theorem ,<BR>\n" );
document.write( "              <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+diagonal%5E2+=length%5E2%2Bwidth%5E2%29 ALIGN=MIDDLE  ALT=\"+diagonal%5E2+=length%5E2%2Bwidth%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "           <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+34%5E2+=%28w%2B14%29%5E2%2Bw%5E2 ALIGN=MIDDLE  ALT=\"+34%5E2+=%28w%2B14%29%5E2%2Bw%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "           <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1156+=%28w%2B14%29%2A%28w%2B14%29+%2Bw%5E2 ALIGN=MIDDLE  ALT=\"+1156+=%28w%2B14%29%2A%28w%2B14%29+%2Bw%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "          <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1156++=w%28w%2B14%29%2B14%28w%2B14%29%2Bw%5E2 ALIGN=MIDDLE  ALT=\"1156++=w%28w%2B14%29%2B14%28w%2B14%29%2Bw%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "          <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1156++=+w%5E2%2B14w%2B14w%2B196%2Bw%5E2 ALIGN=MIDDLE  ALT=\"+1156++=+w%5E2%2B14w%2B14w%2B196%2Bw%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "          <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1156+=+w%5E2%2B28w+%2B196%2Bw%5E2 ALIGN=MIDDLE  ALT=\"+1156+=+w%5E2%2B28w+%2B196%2Bw%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "         <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1156=+2+w%5E2%2B28+w%2B196 ALIGN=MIDDLE  ALT=\"1156=+2+w%5E2%2B28+w%2B196\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "     mve 1156 to the right<BR>\n" );
document.write( "          <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+2w%5E2+%2B28w%2B196-1156 ALIGN=MIDDLE  ALT=\"0+=+2w%5E2+%2B28w%2B196-1156\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "            <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+2w%5E2%2B28w-960 ALIGN=MIDDLE  ALT=\"+0+=+2w%5E2%2B28w-960\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "       divide with 2 each and every term on both sides<BR>\n" );
document.write( "           <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0%2F2+=+%282w%5E2%2F2%29+%2B28w%2F2-960%2F2 ALIGN=MIDDLE  ALT=\"+0%2F2+=+%282w%5E2%2F2%29+%2B28w%2F2-960%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "             <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+w%5E2%2B14w-480 ALIGN=MIDDLE  ALT=\"0+=+w%5E2%2B14w-480\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "            <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=w%5E2%2B30w-16w-480 ALIGN=MIDDLE  ALT=\"0+=w%5E2%2B30w-16w-480\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "             <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=w%28w%2B30%29-16%28w%2B30%29 ALIGN=MIDDLE  ALT=\"0+=w%28w%2B30%29-16%28w%2B30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "          <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=%28w%2B30%29%28w-16%29 ALIGN=MIDDLE  ALT=\"0+=%28w%2B30%29%28w-16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "        possible solution<BR>\n" );
document.write( "            either (w+30)= 0 or (w-16)=0<BR>\n" );
document.write( "                    w=-30      or w= 16<BR>\n" );
document.write( " w cannot be negative<BR>\n" );
document.write( "hence w= 16 cm<BR>\n" );
document.write( " length  = 16+14 = 30 cm<BR>\n" );
document.write( "Perimeter =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%28length%2Bwidth%29 ALIGN=MIDDLE  ALT=\"+2%28length%2Bwidth%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "          =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2830%2B16%29 ALIGN=MIDDLE  ALT=\"2%2830%2B16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "          =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2846%29 ALIGN=MIDDLE  ALT=\"2%2846%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "         = 92 cm<BR>\n" );
document.write( "Result : Perimeter  = 92 cm \r<BR>\n" );
document.write( "\n" );
document.write( "     </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );