document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=925562>Question 925562</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How would I solve the dimensions of a rectangle if the length is 3cm more than the width and the diagonal is 15cm?\r<BR>\n" );
document.write( "\n" );
document.write( "I'm supposed to use factored form for the problem but I haven't been able to solve it. I know it has something to do with isolating w. \r<BR>\n" );
document.write( "\n" );
document.write( "So far, I've subbed in w + 3 for the length and tried pythagorean theorem. But that answers keep coming up wrong. They should be 12 by 9.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #561598 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=561598\">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+3) cm<BR>\n" );
document.write( "diagonal  = 15 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=+w%5E2+%2B%28w%2B3%29%5E2+=15%5E2 ALIGN=MIDDLE  ALT=\"+w%5E2+%2B%28w%2B3%29%5E2+=15%5E2\"   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+%28w%2B3%29%2A%28w%2B3%29+=+225 ALIGN=MIDDLE  ALT=\"+w%5E2%2B+%28w%2B3%29%2A%28w%2B3%29+=+225\"   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+%2Bw%2A%28w%2B3%29%2B3%28w%2B3%29+=225 ALIGN=MIDDLE  ALT=\"+w%5E2+%2Bw%2A%28w%2B3%29%2B3%28w%2B3%29+=225\"   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+%2Bw%2Aw%2Bw%2A3%2B+3%2Aw%2B3%2A3++=225 ALIGN=MIDDLE  ALT=\"+w%5E2+%2Bw%2Aw%2Bw%2A3%2B+3%2Aw%2B3%2A3++=225\"   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+%2Bw%5E2+%2B3w%2B3w%2B9+=225 ALIGN=MIDDLE  ALT=\"+w%5E2+%2Bw%5E2+%2B3w%2B3w%2B9+=225\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "              <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2w%5E2%2B6w%2B9+=225 ALIGN=MIDDLE  ALT=\"+2w%5E2%2B6w%2B9+=225\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "           move 225 to the right<BR>\n" );
document.write( "            <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2w%5E2%2B6w%2B9-225+=0 ALIGN=MIDDLE  ALT=\"+2w%5E2%2B6w%2B9-225+=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "          <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2w%5E2%2B6w-216=0 ALIGN=MIDDLE  ALT=\"+2w%5E2%2B6w-216=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "             on dividing with 2 both sides<BR>\n" );
document.write( "                 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+w%5E2+%2B3w-108=0 ALIGN=MIDDLE  ALT=\"+w%5E2+%2B3w-108=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%2B12w-9w-108=0 ALIGN=MIDDLE  ALT=\"+w%5E2%2B12w-9w-108=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%28w%2B12%29-9%28w%2B12%29+=0 ALIGN=MIDDLE  ALT=\"+w%28w%2B12%29-9%28w%2B12%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=+%28w-9%29%28w%2B12%29++=0+ ALIGN=MIDDLE  ALT=\"+%28w-9%29%28w%2B12%29++=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "                (w-9) =0 or (w+12 )= 0<BR>\n" );
document.write( "                w=9       or w=-12<BR>\n" );
document.write( "           w cannot be negative<BR>\n" );
document.write( "so w= 9<BR>\n" );
document.write( "  l = w+3 = 12<BR>\n" );
document.write( "so length  = 12 cm<BR>\n" );
document.write( " width  = 9 cm\r<BR>\n" );
document.write( "\n" );
document.write( "                <BR>\n" );
document.write( "           </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );