document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=897671>Question 897671</A>: <I><SPAN STYLE=\"word-break: break-all;\">  a 22-ft by 28-ft rectangular swimming pool is surrounded by a walkway of uniform width. if the total area of the walkway is 336 ft2, how wide is the walkway? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #544233 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</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=544233\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I will setup the majority of the solution process completely in symbols, and you can finish from where my response stops.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Say your variables are this way:<BR>\n" );
document.write( "w = 22 feet pool width<BR>\n" );
document.write( "L = 28 feet pool length<BR>\n" );
document.write( "A = area of just the walkway around pool<BR>\n" );
document.write( "x = unknown uniform width of the walkway around pool\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The unknown variable to solve in this arrangement is x.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Pool area, wL.<BR>\n" );
document.write( "Total area of pool and walkway, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28w%2B2x%29%28L%2B2x%29 ALIGN=MIDDLE  ALT=\"%28w%2B2x%29%28L%2B2x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "WALKWAY AREA, <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, the uniform width of walkway.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=wL%2B2Lx%2B2wx%2B4x%5E2-wL=A ALIGN=MIDDLE  ALT=\"wL%2B2Lx%2B2wx%2B4x%5E2-wL=A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2%2B12Lx%2B2wx=A ALIGN=MIDDLE  ALT=\"4x%5E2%2B12Lx%2B2wx=A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2%2B%282w%2B2L%29x-A=0 ALIGN=MIDDLE  ALT=\"4x%5E2%2B%282w%2B2L%29x-A=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You could choose to substitute values now and perform some numeric simplification, often possible in academic problems; but you do not always know.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Staying in symbolism,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-2w-2L%2B-+sqrt%284%28w%2BL%29%5E2-4%2A4%2A%28-A%29%29%29%2F%282%2A4%29 ALIGN=MIDDLE  ALT=\"x=%28-2w-2L%2B-+sqrt%284%28w%2BL%29%5E2-4%2A4%2A%28-A%29%29%29%2F%282%2A4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-2w-2L%2B-+sqrt%284%28w%2BL%29%5E2%2B16A%29%29%2F%282%2A4%29 ALIGN=MIDDLE  ALT=\"x=%28-2w-2L%2B-+sqrt%284%28w%2BL%29%5E2%2B16A%29%29%2F%282%2A4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-2w-2L%2B-+2sqrt%28%28w%2BL%29%5E2%2B4A%29%29%2F%282%2A4%29 ALIGN=MIDDLE  ALT=\"x=%28-2w-2L%2B-+2sqrt%28%28w%2BL%29%5E2%2B4A%29%29%2F%282%2A4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=%28-w-L%2B-+sqrt%28%28w%2BL%29%5E2%2B4A%29%29%2F4%29 ALIGN=MIDDLE  ALT=\"highlight%28x=%28-w-L%2B-+sqrt%28%28w%2BL%29%5E2%2B4A%29%29%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "One of these will make sense and one of them will not make sense.  Choose the one with sensible meaning. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );