document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=64023>Question 64023</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395771161/algebrahomeworkh>Algebra Structure and Method Book1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A rectangle is three times as long as it is wide.If its length and width are both decreased by 2 cm,its area is decreased by 36 cm squared.Find its original dimensions.Make a sketch as in Oral Exercise 2. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #44768 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=44768\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The area of a rectangle is given by:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+L%2AW ALIGN=MIDDLE  ALT=\"A+=+L%2AW\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "In your rectangle: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+3W ALIGN=MIDDLE  ALT=\"L+=+3W\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If you decrease the length, L, and the width, W, each by 2 cm, the area, A, is decreased by 36 sq.cm.  So, puting this into an equation, you'll get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28L-2%29%28W-2%29+=+A-36 ALIGN=MIDDLE  ALT=\"%28L-2%29%28W-2%29+=+A-36\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substituting 3W for L, and L*W for A, you now have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283W-2%29%28W-2%29+=+3W%5E2-36 ALIGN=MIDDLE  ALT=\"%283W-2%29%28W-2%29+=+3W%5E2-36\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplifying this, you'll get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3W%5E2-8W%2B4+=+3W%5E2+-+36 ALIGN=MIDDLE  ALT=\"3W%5E2-8W%2B4+=+3W%5E2+-+36\"   DISABLED_style= \"max-width:90%; height:auto;\" > Further simplification yields:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8W%2B4+=+-36 ALIGN=MIDDLE  ALT=\"-8W%2B4+=+-36\"   DISABLED_style= \"max-width:90%; height:auto;\" > and:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8W+=+-40 ALIGN=MIDDLE  ALT=\"-8W+=+-40\"   DISABLED_style= \"max-width:90%; height:auto;\" > Dividing by -8:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+5 ALIGN=MIDDLE  ALT=\"W+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+3W ALIGN=MIDDLE  ALT=\"L+=+3W\"   DISABLED_style= \"max-width:90%; height:auto;\" > so:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+15 ALIGN=MIDDLE  ALT=\"L+=+15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "The original length, L = 15 cm<BR>\n" );
document.write( "The original width, W = 5 cm\r<BR>\n" );
document.write( "\n" );
document.write( "Check:<BR>\n" );
document.write( "Original area:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A1+=+%2815%29%285%29 ALIGN=MIDDLE  ALT=\"A1+=+%2815%29%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A1+=+75+cm%5E2 ALIGN=MIDDLE  ALT=\"A1+=+75+cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "After decreasing the lenth and width by 2 cm:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A2+=+%2813%29%283%29 ALIGN=MIDDLE  ALT=\"A2+=+%2813%29%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A2+=+39 ALIGN=MIDDLE  ALT=\"A2+=+39\"   DISABLED_style= \"max-width:90%; height:auto;\" > sq.cm.\r<BR>\n" );
document.write( "\n" );
document.write( "The decrease in area is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=75-39+=+36 ALIGN=MIDDLE  ALT=\"75-39+=+36\"   DISABLED_style= \"max-width:90%; height:auto;\" >sq.cm. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );