document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=184158>Question 184158</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man has a swimming pool in the form of a square. He constructs a cement walk 6 feet wide around the pool and finds that the area of the walk is exactly 1/2 the area of the pool. What is the length of the pool? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #138198 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=138198\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A man has a swimming pool in the form of a square. He constructs a cement walk 6 feet wide around the pool and finds that the area of the walk is exactly 1/2 the area of the pool. What is the length of the pool?<BR>\n" );
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document.write( "Draw the picture of a rectangle inside a rectangle.<BR>\n" );
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document.write( "Let dimensions of the inner rectangle be L and W<BR>\n" );
document.write( "Area of the inner rectangle is then L*W<BR>\n" );
document.write( "This is the area of the pool.<BR>\n" );
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document.write( "The dimensions of the outer rectangle are L+12 and W+12<BR>\n" );
document.write( "Area of the outer rectangle is (L+12)*(W+12)<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "Area of the walk = outer area - inner area<BR>\n" );
document.write( "= (LW+12L + 12W + 144) - LW = 12L + 12W + 144<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "Area of walk = (1/2) area of pool<BR>\n" );
document.write( "12L + 12W + 144 = (1/2)LW<BR>\n" );
document.write( "24L + 24W + 288 = LW<BR>\n" );
document.write( "LW - 24L = 24W + 288 <BR>\n" );
document.write( "L(W-24) = 24W + 288<BR>\n" );
document.write( "Length = (24W+288)/(W-24)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " \r<BR>\n" );
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document.write( " </SPAN>\n" );
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