document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=316794>Question 316794</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a pool measuring 20 meters by 30 meters is surrounded by a path of uniform width. If the area of the pool and the path combined is 1344 square meters, what is the width of the path? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #226950 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=226950\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let the width of the path be x<BR>\n" );
document.write( "..<BR>\n" );
document.write( "length of pool = 30<BR>\n" );
document.write( "width of pool =20<BR>\n" );
document.write( "..<BR>\n" );
document.write( "length of pool +path width = 30 +2x<BR>\n" );
document.write( "width of pool + path width = 20+2x<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Area = L*W<BR>\n" );
document.write( "Area of total plot = (2x+30) * (2x+20)<BR>\n" );
document.write( "Area of pool without the path = 30*20 = 600sq.meters<BR>\n" );
document.write( "..<BR>\n" );
document.write( "(2x+30) * (2x+20) = 1344<BR>\n" );
document.write( "4x^2+40x+60x+600=1344<BR>\n" );
document.write( "4x^2+100x-744=0<BR>\n" );
document.write( "x^2+25x-186=0<BR>\n" );
document.write( "x^2+31x-6x-185=0<BR>\n" );
document.write( "x(x+31)-6(x+31)=0<BR>\n" );
document.write( "(x+31)(x-6)=0<BR>\n" );
document.write( "so x= 6  the width of the path </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );