document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=380474>Question 380474</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The perimeter of a rectangle is 50m. If the width was doubled and the length was increased by 20m, the perimeter would be 100m. What are the length and width 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 #270070 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=270070\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The perimeter of a rectangle is 50m. If the width was doubled and the length was increased by 20m, the perimeter would be 100m. What are the length and width of the rectangle?<BR>\n" );
document.write( "...<BR>\n" );
document.write( "let width be w<BR>\n" );
document.write( "length = l<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Area A = l*w=50 m^2<BR>\n" );
document.write( "l= 50/w<BR>\n" );
document.write( "...<BR>\n" );
document.write( "second rectangle<BR>\n" );
document.write( "width = 2w<BR>\n" );
document.write( "length = l+20<BR>\n" );
document.write( "Perimeter of second rectangle =2*(2w+(l+20)) <BR>\n" );
document.write( "P=2(2w+l+20)<BR>\n" );
document.write( "P=4w+2l+40<BR>\n" );
document.write( "plug the value of l above<BR>\n" );
document.write( "P=4w+2(50/w)+40<BR>\n" );
document.write( "100=4w+100/w+40<BR>\n" );
document.write( "multiply by w<BR>\n" );
document.write( "100w=4w^2+100+40w<BR>\n" );
document.write( "re write<BR>\n" );
document.write( "4w^2-100w+40w+100=0<BR>\n" );
document.write( "4w^2-60w+100=0<BR>\n" );
document.write( "/4<BR>\n" );
document.write( "w^2-15w+25=0<BR>\n" );
document.write( "find the roots w1,w2 using quadratic formula<BR>\n" );
document.write( "..<BR>\n" );
document.write( "discriminant = 125<BR>\n" );
document.write( "w1=((15+sqrt(125))/2)<BR>\n" );
document.write( "w1=13.1 meters ... the width<BR>\n" );
document.write( "w2 will be negative so ignore<BR>\n" );
document.write( "length = 50/13.1<BR>\n" );
document.write( "length = 3.82 meters<BR>\n" );
document.write( "...<BR>\n" );
document.write( "CHECK perimeter of second rectangle<BR>\n" );
document.write( "plug w & l <BR>\n" );
document.write( "2*(2*13.1+((3.82+20))=100<BR>\n" );
document.write( "...<BR>\n" );
document.write( "m.ananth@hotmail.ca<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );