document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=313679>Question 313679</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the perimeter of a rectangle is 24 cm. the area of the same rectangle is 20 sq. cm. find the sides of the rectangle without using calculus. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #224272 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=224272\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 24=2L+2W<BR>\n" );
document.write( "20=LW OR L=20/W<BR>\n" );
document.write( "REPLACING L IN THE FIRST EQUATION BY (20/W) & SOLVE FOR W.<BR>\n" );
document.write( "24=2(20/W)+2W<BR>\n" );
document.write( "24=40/W+2W<BR>\n" );
document.write( "24=(40+2W*W)/W<BR>\n" );
document.write( "24=(40+2W^2)/W CROSS MULTIPLY.<BR>\n" );
document.write( "24*W=40+2W^2<BR>\n" );
document.write( "24W=40+2W^2<BR>\n" );
document.write( "2W^2-24W+40=0<BR>\n" );
document.write( "2(W^2-12W+20)=0<BR>\n" );
document.write( "2(W-10)(W-2)=0<BR>\n" );
document.write( "W-10=0<BR>\n" );
document.write( "W=10 ANS.<BR>\n" );
document.write( "L=20/10=2 ANS.<BR>\n" );
document.write( "W-2=0<BR>\n" );
document.write( "W=2 ANS.<BR>\n" );
document.write( "L=20/2=10 ANS.<BR>\n" );
document.write( "PROOF:<BR>\n" );
document.write( "20=2*10<BR>\n" );
document.write( "20=20<BR>\n" );
document.write( "24=2*10+2*2<BR>\n" );
document.write( "24=20+4<BR>\n" );
document.write( "24=24  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );