document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=703880>Question 703880</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a rectangle is three times as long as it is wide. the rectangle has its length increased in the ratio of 3:1 and its width decreases in the ratio 1:2.<BR>\n" );
document.write( "a. in what ratio is its area changed?<BR>\n" );
document.write( "b. in what ratio is its perimeter changed? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #433818 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=433818\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a rectangle is three times as long as it is wide.<BR>\n" );
document.write( "L = 3W<BR>\n" );
document.write( " the rectangle has its length increased in the ratio of 3:1 and its width decreases in the ratio 1:2.<BR>\n" );
document.write( "3L by .5W<BR>\n" );
document.write( ":<BR>\n" );
document.write( "a. in what ratio is its area changed?<BR>\n" );
document.write( "Old area:new area<BR>\n" );
document.write( "LW:3L*.5W<BR>\n" );
document.write( "LW:1.5LW<BR>\n" );
document.write( "get rid of the decimal mult both by 2<BR>\n" );
document.write( "2LW:3LW<BR>\n" );
document.write( "divide both by LW<BR>\n" );
document.write( "2:3 is the ratio of old area to new area<BR>\n" );
document.write( ":<BR>\n" );
document.write( "b. in what ratio is its perimeter changed?<BR>\n" );
document.write( "(2L+2W):(2*3L+.5*2W)<BR>\n" );
document.write( "2(L+W):(6L+1W)<BR>\n" );
document.write( "Replace L with 3W<BR>\n" );
document.write( "2(3W+W):(18W+W)<BR>\n" );
document.write( "2(4W):19W<BR>\n" );
document.write( "8W:19W<BR>\n" );
document.write( "8:19 is the old perimeter to the new perimeter </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );