document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1029553>Question 1029553</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of a rectangular swimming pool is twice its width. The pool is surrounded by a walk that is 2 feet wide. The area of the region consisting of the pool and the walk is 1056 square feet.\r<BR>\n" );
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document.write( "(a) Use the method of completing the square to determine the dimensions of the swimming pool.\r<BR>\n" );
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document.write( "The length of the pool is ____ feet, and the width of the pool is ____feet.\r<BR>\n" );
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document.write( "(b) If the material for the walk costs $8 per square foot, how much would the material cost for the entire walk?\r<BR>\n" );
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document.write( "The material would cost $____ . </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #644544 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=644544\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Length is L and width is w.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=2w ALIGN=MIDDLE  ALT=\"L=2w\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Let x be the uniform width of the surrounding walkway of the pool.<BR>\n" );
document.write( "Let A be the total area of walkway and pool  (in only the top surface, of course).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=1056 ALIGN=MIDDLE  ALT=\"A=1056\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2 ALIGN=MIDDLE  ALT=\"x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The first basic equation directly from the description and assigned variables is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28L%2B2x%29%28w%2B2x%29=A ALIGN=MIDDLE  ALT=\"%28L%2B2x%29%28w%2B2x%29=A\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Substitute for L.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282w%2B2x%29%28w%2B2x%29=A ALIGN=MIDDLE  ALT=\"%282w%2B2x%29%28w%2B2x%29=A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28w%2Bx%29%28w%2B2x%29-A=0 ALIGN=MIDDLE  ALT=\"2%28w%2Bx%29%28w%2B2x%29-A=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28w%5E2%2Bwx%2B2wx%2B2x%5E2%29-A=0 ALIGN=MIDDLE  ALT=\"2%28w%5E2%2Bwx%2B2wx%2B2x%5E2%29-A=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%282%28w%5E2%2B3wx%2B2x%5E2%29-A=0%29 ALIGN=MIDDLE  ALT=\"highlight_green%282%28w%5E2%2B3wx%2B2x%5E2%29-A=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You can continue this in its purely symbolic form, for the UNKNOWN variable, w.  Remember, x and A are KNOWN already.  The term to use INSIDE the parentheses to complete the square is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"%283x%2F2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Watch the groupings very carefully; and go through Complete-the-Square process to solve for w.  Substitute the values for x and A whenever you feel you want in the process.\r<BR>\n" );
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document.write( "You continue this on your own. </SPAN>\n" );
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