document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=883511>Question 883511</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A garden 7 meter by 12 meter will be expanded by planting a border of flowers. The border will be of the same width around the entire garden and has an are of 92 meter^2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #533579 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=533579\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Try analyzing and solving this in general, since this is a very common type of rectangle area problem.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Let w= width of the original rectangle before adding the uniform additional width (x).<BR>\n" );
document.write( "Let L = length<BR>\n" );
document.write( "Let x = the additional width for the border.<BR>\n" );
document.write( "Let A = the border area, which does not include the original rectangle (garden) area.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The unknown variable is x.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Garden Area:  w*L<BR>\n" );
document.write( "Flower Border Area:  (w+2x)(L+2x)-wL<BR>\n" );
document.write( "Knowing that this flower border is to be A, equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28%28w%2B2x%29%28L%2B2x%29-wL=A%29 ALIGN=MIDDLE  ALT=\"highlight_green%28%28w%2B2x%29%28L%2B2x%29-wL=A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "SOLVE FOR x SYMBOLICALLY FIRST.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "FINISH VALUE FOR x SUBSTITUTING KNOWN AND GIVEN VALUES:<BR>\n" );
document.write( "w=7<BR>\n" );
document.write( "L=12<BR>\n" );
document.write( "A=92 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );