document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=826273>Question 826273</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A swimming pool 6 meters by 10 meters long is surrounded by a walk of uniform width. The area taken up by the walk happens to equal the area of the pool. What is the width 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 #498003 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=498003\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---<BR>\n" );
document.write( "pool dims:<BR>\n" );
document.write( "x = length<BR>\n" );
document.write( "y = breadth<BR>\n" );
document.write( "---<BR>\n" );
document.write( "outer walk dims:<BR>\n" );
document.write( "u = length<BR>\n" );
document.write( "v = breadth<BR>\n" );
document.write( "--<BR>\n" );
document.write( "walk's uniform width:<BR>\n" );
document.write( "w = width<BR>\n" );
document.write( "---<BR>\n" );
document.write( "outer walk dims relative to pool dims:<BR>\n" );
document.write( "u = (x + w) = length<BR>\n" );
document.write( "v = (y + w) = breadth<BR>\n" );
document.write( "---<BR>\n" );
document.write( "area of pool<BR>\n" );
document.write( "p = xy<BR>\n" );
document.write( "---<BR>\n" );
document.write( "area of walk:<BR>\n" );
document.write( "w = p<BR>\n" );
document.write( "w = uv - p<BR>\n" );
document.write( "p = uv - p<BR>\n" );
document.write( "xy = uv - xy<BR>\n" );
document.write( "2xy = uv<BR>\n" );
document.write( "2xy = (x + w)(y + w)<BR>\n" );
document.write( "2xy = xy + wx + wy + ww<BR>\n" );
document.write( "xy = wx + wy + ww<BR>\n" );
document.write( "ww + (x + y)w - xy = 0<BR>\n" );
document.write( "ww + (10 + 6)w - (10)(6) = 0<BR>\n" );
document.write( "ww + 16w - 60 = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the above quadratic equation is in standard form, with a=1, b=16, and c=-60<BR>\n" );
document.write( "---<BR>\n" );
document.write( "to solve the quadratic equation, by using the quadratic formula, copy and paste this:<BR>\n" );
document.write( "1 16 -60<BR>\n" );
document.write( "into this solver: https://sooeet.com/math/quadratic-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the quadratic has two real roots at:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "w = 3.13552873<BR>\n" );
document.write( "w = -19.1355287<BR>\n" );
document.write( "---<BR>\n" );
document.write( "negative width doesn't fit the problem statement, so use the positive root:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer:<BR>\n" );
document.write( "width of the walk = 3.13552873 m<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve systems of linear equations up to 6-equations 6-variables:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );