document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=327454>Question 327454</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I saw this problem in my textbook:<BR>\n" );
document.write( "A rectangular pool is surrounded by a walk 4 meters wide.  The pool is 6 meters longer than its width.  If the total area is 576 square meters more than the area of the pool, find the dimensions of the pool.<BR>\n" );
document.write( "How do they get the answer?  I've tried by making Total Area = x^2+6x+576, but have been unable to obtain the answer. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #234596 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=234596\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A rectangular pool is surrounded by a walk 4 meters wide.<BR>\n" );
document.write( " The pool is 6 meters longer than its width.<BR>\n" );
document.write( " If the total area is 576 square meters more than the area of the pool,<BR>\n" );
document.write( " find the dimensions of the pool.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let x = the width of the pool<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(x+6) = length of the pool<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the area (a) of the pool<BR>\n" );
document.write( "a = x(x+6)<BR>\n" );
document.write( "a = x^2 + 6x; area of the pool only<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The dimensions of the area including the 4' walkway (add 8 to each dimension)<BR>\n" );
document.write( "(x+8) = overall width<BR>\n" );
document.write( "(x+14) = overall length<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the area (A) including the 4m walkway<BR>\n" );
document.write( "FOIL: (x+8)(x+14)<BR>\n" );
document.write( "A = x^2 + 22x + 112; the total area<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"If the total area is 576 square meters more than the area of the pool,\"<BR>\n" );
document.write( "(x^2 + 22x + 112) - (x^2 + 6x) = 576<BR>\n" );
document.write( "remove the brackets<BR>\n" );
document.write( "x^2 + 22x + 112 - x^2 - 6x = 576<BR>\n" );
document.write( "results<BR>\n" );
document.write( "22x - 6x = 576 - 112<BR>\n" );
document.write( ":<BR>\n" );
document.write( "16x = 464<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=464%2F16 ALIGN=MIDDLE  ALT=\"464%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 29 m is the width of the pool<BR>\n" );
document.write( "then<BR>\n" );
document.write( "29 + 6 = 35 m is length<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution using x=29<BR>\n" );
document.write( "29(29+6) = 1015 pool area<BR>\n" );
document.write( "(29+8)(29+14) = 1591 overall area<BR>\n" );
document.write( "1591 - 1015 = 576; confirms our solution </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );