document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=539147>Question 539147</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangle measures 18m by 24m. What is the sum of the lengths of its diagonals? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #353341 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathpassionate><B>Mathpassionate(25)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathpassionate><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=Mathpassionate><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=353341\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A rectangle measures 18m by 24m. What is the sum of the lengths of its diagonals?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "We know that a rectangle diagonals are equal.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So, we need to know D1 + D2, which is 2D.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Information provided:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "L = 24<BR>\n" );
document.write( "W = 18\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "By the Pythagorean Theorem:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "D^2 = L^2 + W^2<BR>\n" );
document.write( "D^2 = 24^2 + 18^2<BR>\n" );
document.write( "D^2 = 576 + 324<BR>\n" );
document.write( "D^2 = 900\r<BR>\n" );
document.write( "\n" );
document.write( "D = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28900%29+ ALIGN=MIDDLE  ALT=\"sqrt%28900%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "D = 30\r<BR>\n" );
document.write( "\n" );
document.write( "Because the problem is asking for the sum of the 2 diagonals, then:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2D = 2*30\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The answer is 60.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Any question, please ask me. My email is AREVALOGABRIEL2@GMAIL.COM\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );