document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=785392>Question 785392</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A small square pool is surrounded by a concrete walk two meters wide. If the area of the pool is 2/3 of the total area of the pool and the walk, find the outer dimensions of the walk.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #477508 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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/cgi-bin/show-face.mpl?user=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=477508\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >= outer side of the concrete walk (in meters)<BR>\n" );
document.write( "Since there are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=red%282%29 ALIGN=MIDDLE  ALT=\"red%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > meters of concrete walk to either side of the pool, the length of one side of the pool,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2%2Ared%282%29=x-4 ALIGN=MIDDLE  ALT=\"x-2%2Ared%282%29=x-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >= length of the side of the pool (in meters).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Ax=x%5E2 ALIGN=MIDDLE  ALT=\"x%2Ax=x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >= total area of the pool plus concrete walk (in square meters)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-4%29%5E2 ALIGN=MIDDLE  ALT=\"%28x-4%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > area of the pool (in square meters).<BR>\n" );
document.write( "What the problem says in words translates as <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-4%29%5E2=%282%2F3%29%2Ax%5E2 ALIGN=MIDDLE  ALT=\"%28x-4%29%5E2=%282%2F3%29%2Ax%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-8x%2B16=%282%2F3%29x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2-8x%2B16=%282%2F3%29x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiplying times 3 both sides of the equation, we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28x%5E2-8x%2B16%29=2x%5E2 ALIGN=MIDDLE  ALT=\"3%28x%5E2-8x%2B16%29=2x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2-24x%2B48=2x%5E2 ALIGN=MIDDLE  ALT=\"3x%5E2-24x%2B48=2x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2-24x%2B48-2x%5E2=0%7D%7D%0D%0A%7B%7B%7Bx%5E2-24x%2B48=0 ALIGN=MIDDLE  ALT=\"3x%5E2-24x%2B48-2x%5E2=0%7D%7D%0D%0A%7B%7B%7Bx%5E2-24x%2B48=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "SOlving that quadratic equation, we get two solutions.<BR>\n" );
document.write( "One is negative, which does not make sense.<BR>\n" );
document.write( "The other one is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=12%2B4sqrt%286%29=%22approx.%22 ALIGN=MIDDLE  ALT=\"x=12%2B4sqrt%286%29=%22approx.%22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21.8 ALIGN=MIDDLE  ALT=\"21.8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The outside dimensions of the walk are 21.8 meters by 21.8 meters.<BR>\n" );
document.write( "(The pool sides measure 21.8 meters - 4 meters = 17.8 meters).<BR>\n" );
document.write( " <BR>\n" );
document.write( "SOLVING THE QUADRATIC EQUATION:<BR>\n" );
document.write( "Using the quadratic formula:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-%28-24%29+%2B-+sqrt%28%28-24%29%5E2-4%2A1%2A48+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-%28-24%29+%2B-+sqrt%28%28-24%29%5E2-4%2A1%2A48+%29%29%2F%282%2A1%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+=+%2824+%2B-+sqrt%28576-192%29%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+%2824+%2B-+sqrt%28576-192%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2824+%2B-+sqrt%28384%29%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+%2824+%2B-+sqrt%28384%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2824+%2B-+sqrt%2864%2A6%29%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+%2824+%2B-+sqrt%2864%2A6%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2824+%2B-+sqrt%2864%29%2Asqrt%286%29%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+%2824+%2B-+sqrt%2864%29%2Asqrt%286%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2824+%2B-+8%2Asqrt%286%29%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+%2824+%2B-+8%2Asqrt%286%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+12+%2B-+4%2Asqrt%286%29 ALIGN=MIDDLE  ALT=\"x+=+12+%2B-+4%2Asqrt%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Completing the square:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-24x%2B48=0 ALIGN=MIDDLE  ALT=\"x%5E2-24x%2B48=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-24x=-48 ALIGN=MIDDLE  ALT=\"x%5E2-24x=-48\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-24x%2B144=-48%2B144 ALIGN=MIDDLE  ALT=\"x%5E2-24x%2B144=-48%2B144\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-12%29%5E2=96 ALIGN=MIDDLE  ALT=\"%28x-12%29%5E2=96\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=12+%2B-+sqrt%2896%29 ALIGN=MIDDLE  ALT=\"x=12+%2B-+sqrt%2896%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=12+%2B-+sqrt%2816%2A6%29 ALIGN=MIDDLE  ALT=\"x=12+%2B-+sqrt%2816%2A6%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=12+%2B-+sqrt%2816%29%2Asqrt%286%29 ALIGN=MIDDLE  ALT=\"x=12+%2B-+sqrt%2816%29%2Asqrt%286%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=12+%2B-+4sqrt%286%29 ALIGN=MIDDLE  ALT=\"x=12+%2B-+4sqrt%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );