document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=313706>Question 313706</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The diagonal of a rectangle is 25 cm and the length iss 10 cm more than twice the width. 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 #224318 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=224318\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let the width be x<BR>\n" );
document.write( "the length is 2x+10<BR>\n" );
document.write( "Diagonal = 25 <BR>\n" );
document.write( "..<BR>\n" );
document.write( "they form a right triangle with diagonal as hypotenuse.<BR>\n" );
document.write( "x^2+(2x+10)^2=25^2<BR>\n" );
document.write( "x^2 + 4x^2+40x+100=625<BR>\n" );
document.write( "5x^2+40x-525=0<BR>\n" );
document.write( "x^2+8x-105=0<BR>\n" );
document.write( "x^2+15x-7x-105=0<BR>\n" );
document.write( "x(x+15)-7(x+15)=0<BR>\n" );
document.write( "(x+15)(x-7)=0<BR>\n" );
document.write( "x=7 cm the width<BR>\n" );
document.write( "length = 2x+10<BR>\n" );
document.write( "=2*7+10<BR>\n" );
document.write( "=24 cm </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );