document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=4129>Question 4129</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One side of a rectangle is 7 cm longer than the other side. The diagonal is 8 cm longer than the shortest side of the rectangle. Find the dimensions of the rectangle. I am stuck and do not know how to solve this problem </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #1818 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=1818\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = first side of the rectangle (width)<BR>\n" );
document.write( "   x+7 = second side of the rectangle (length)<BR>\n" );
document.write( "   x+8 = diagonal of the rectangle (hypotenuse of the right triangle)\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+%28x%2B7%29%5E2+=+%28x%2B8%29%5E2+ ALIGN=MIDDLE  ALT=\"x%5E2+%2B+%28x%2B7%29%5E2+=+%28x%2B8%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+%2B+x%5E2+%2B+14x+%2B+49+=+x%5E2+%2B+16x+%2B+64+ ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+x%5E2+%2B+14x+%2B+49+=+x%5E2+%2B+16x+%2B+64+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "This is a quadratic equation, so set it equal to zero!\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+%2B+x%5E2+%2B+14x+%2B+49+-+x%5E2+-+16x+-+64+=+0 ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+x%5E2+%2B+14x+%2B+49+-+x%5E2+-+16x+-+64+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+2x+-+15+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-+2x+-+15+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Factor the left side:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x+-+5%29%28x+%2B+3%29+=+0+ ALIGN=MIDDLE  ALT=\"+%28x+-+5%29%28x+%2B+3%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  x = 5 or x = -3\r<BR>\n" );
document.write( "\n" );
document.write( "Since x is a side of a triangle, it cannot be negative.  Therefore reject the x=-3.  \r<BR>\n" );
document.write( "\n" );
document.write( "If x = 5, then x + 7 = 12, and x + 8 = 13.  \r<BR>\n" );
document.write( "\n" );
document.write( "The rectangle is 5 by 12 and the diagonal is 13. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );