document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1038000>Question 1038000</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangular swimming pool 12m by 8m is surrounded by a concrete path of uniform width. If the area is 224m^2, find its width<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #652670 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39627)</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=652670\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Draw and label the rectangular figure.\r<BR>\n" );
document.write( "\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "x     one of the pool's dimensions\r\n" );
document.write( "y     the other pool's dimensions\r\n" );
document.write( "w     uniform width extending from the two dimensions\r\n" );
document.write( "A     Area of, ASSUMING the path and the pool combined\r\n" );
document.write( "      (Your description does not specify which.)\r\n" );
document.write( "-\r\n" );
document.write( "x=12\r\n" );
document.write( "y=8\r\n" );
document.write( "A=224\r\n" );
document.write( "w=unknown\r\n" );
document.write( "</PRE>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28%28x%2B2w%29%28y%2B2w%29=A%29 ALIGN=MIDDLE  ALT=\"highlight_green%28%28x%2B2w%29%28y%2B2w%29=A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----Solve for w.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy%2B2yw%2B2xw%2B4w%5E2=A ALIGN=MIDDLE  ALT=\"xy%2B2yw%2B2xw%2B4w%5E2=A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4w%5E2%2B%282x%2B2y%29w%2Bxy=A ALIGN=MIDDLE  ALT=\"4w%5E2%2B%282x%2B2y%29w%2Bxy=A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4w%5E2%2B%282x%2B2y%29w%2Bxy-A=0 ALIGN=MIDDLE  ALT=\"4w%5E2%2B%282x%2B2y%29w%2Bxy-A=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-<BR>\n" );
document.write( "Formula for general solution of quadratic equation gives<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=%28-%282x%2B2y%29%2B-+sqrt%28%282x%2B2y%29%5E2-4%2A4%2A%28-A%29%29%29%2F%282%2A4%29 ALIGN=MIDDLE  ALT=\"w=%28-%282x%2B2y%29%2B-+sqrt%28%282x%2B2y%29%5E2-4%2A4%2A%28-A%29%29%29%2F%282%2A4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=%28-2x-2y%2B-+sqrt%284x%5E2%2B8xy%2B4y%5E2%2B16A%29%29%2F%282%2A4%29 ALIGN=MIDDLE  ALT=\"w=%28-2x-2y%2B-+sqrt%284x%5E2%2B8xy%2B4y%5E2%2B16A%29%29%2F%282%2A4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=%28-2x-2y%2B-+2%2Asqrt%28x%5E2%2B2xy%2By%5E2%2B4A%29%29%2F%282%2A4%29 ALIGN=MIDDLE  ALT=\"w=%28-2x-2y%2B-+2%2Asqrt%28x%5E2%2B2xy%2By%5E2%2B4A%29%29%2F%282%2A4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28w=%28-x-y%2B-+sqrt%28x%5E2%2B2xy%2By%5E2%2B4A%29%29%2F4%29 ALIGN=MIDDLE  ALT=\"highlight%28w=%28-x-y%2B-+sqrt%28x%5E2%2B2xy%2By%5E2%2B4A%29%29%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If neither of these two values work, then the other assumption may be what you really want; that the \"area\" is for JUST the concrete path.  That would change the initial equation a bit. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );