document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=704243>Question 704243</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this problem.\r<BR>\n" );
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document.write( "A man built a walk of uniform width around a rectangular pool. If the area of the walk is 203 square feet and the dimensions of the pool are 11 feet by 11 feet, how wide is 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 #433984 by </B><A HREF=/tutors/aboutme.mpl?userid=DrBeeee><B>DrBeeee(684)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=DrBeeee><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=433984\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let w = the width of the walk.<BR>\n" );
document.write( "Then the two dimensions of the walk and pool are both (11 + 2*w).<BR>\n" );
document.write( "The area of the walkway is the total area minus the pool area or<BR>\n" );
document.write( "(1) (11 + 2*w)^2 - 11^2 = 203 or<BR>\n" );
document.write( "(2) 121 + 44*w + 4*w^2 - 121 = 203 or<BR>\n" );
document.write( "(3) 4*w^2 + 44*w - 203 = 0<BR>\n" );
document.write( "Use the quadratic equation to get the positive value of the width as<BR>\n" );
document.write( "(4) w = 3.5<BR>\n" );
document.write( "Check this value in (1)<BR>\n" );
document.write( "Is ((11 + 2*3.5)^2 - 11^2 = 203)?<BR>\n" );
document.write( "Is ((11 + 7)^2 - 121 = 203)?<BR>\n" );
document.write( "Is (18^2 - 121 = 203)?<BR>\n" );
document.write( "Is (324 - 121 = 203)?<BR>\n" );
document.write( "Is (203 = 203)? Yes<BR>\n" );
document.write( "Answer: The width of the walk is 3.5 feet. </SPAN>\n" );
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