document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=162176>Question 162176</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395771161/algebrahomeworkh>Algebra Structure and Method Book 1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A rectangle is three times aslong as it is wide. If it length ans width are both decreased by 2cm, its area is decreased by 36cm2. Find it's orginal demesions. make a sketch as is oral exercises  2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #119532 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=119532\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> l*w=(l-2)(w-2)+36<BR>\n" );
document.write( "l=3w<BR>\n" );
document.write( "3w*w=(3w-2)(w-2)+36<BR>\n" );
document.write( "3w^2=3w^2-8w+4+36<BR>\n" );
document.write( "0=-8w+40<BR>\n" );
document.write( "8w=40<BR>\n" );
document.write( "w=40/8<BR>\n" );
document.write( "w=5 for the original width<BR>\n" );
document.write( "l=3*5=15 is the original length.<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "15*5=(15-2)(5-2)+36<BR>\n" );
document.write( "75=13*3+36<BR>\n" );
document.write( "75=39+36<BR>\n" );
document.write( "75=75 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );