document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=677538>Question 677538</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A pool is three feet longer than wide. A walkway around it is two feet wide. The combined area of th walkway and pool is seventy square feet. What is the area of just the pool?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #420956 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=420956\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > = width of the pool, in feet<BR>\n" );
document.write( "Then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3 ALIGN=MIDDLE  ALT=\"x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = length of the pool, in feet,<BR>\n" );
document.write( "because the \"pool is three feet longer than wide.\"<BR>\n" );
document.write( " <BR>\n" );
document.write( "Also, since there are two widths of walkway on either side of the pool's width and length,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2%2B2=x%2B4 ALIGN=MIDDLE  ALT=\"x%2B2%2B2=x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = width of the pool plus walkway, in feet,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3%2B2%2B2=x%2B7 ALIGN=MIDDLE  ALT=\"x%2B3%2B2%2B2=x%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" > = length of the pool plus walkway, in feet, and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B4%29%28x%2B7%29=x%5E2%2B11x%2B28 ALIGN=MIDDLE  ALT=\"%28x%2B4%29%28x%2B7%29=x%5E2%2B11x%2B28\"   DISABLED_style= \"max-width:90%; height:auto;\" > = combined area of the walkway and pool, in square feet.<BR>\n" );
document.write( " <BR>\n" );
document.write( "Since the \"combined area of the walkway and pool\" is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70 ALIGN=MIDDLE  ALT=\"70\"   DISABLED_style= \"max-width:90%; height:auto;\" > square feet,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B11x%2B28=70 ALIGN=MIDDLE  ALT=\"x%5E2%2B11x%2B28=70\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I can solve that equation to find a solution for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > that is positive, and then use that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > value to calculate the width, length, and area of just the pool, in square feet.<BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B11x%2B28=70 ALIGN=MIDDLE  ALT=\"x%5E2%2B11x%2B28=70\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B11x%2B28-70=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B11x%2B28-70=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B11x-42=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B11x-42=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Factoring, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B11x-42=%28x-3%29%28x%2B14%29 ALIGN=MIDDLE  ALT=\"x%5E2%2B11x-42=%28x-3%29%28x%2B14%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the easiest way to solve that quadratic equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B11x-42=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B11x-42=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%28x%2B14%29=0 ALIGN=MIDDLE  ALT=\"%28x-3%29%28x%2B14%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The solution to that equation are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-14 ALIGN=MIDDLE  ALT=\"x=-14\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=3%29 ALIGN=MIDDLE  ALT=\"highlight%28x=3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The solution <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-14 ALIGN=MIDDLE  ALT=\"x=-14\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is negative, is not a good number for the width of a pool in feet, so it does not lead to a solution to our problem.<BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3 ALIGN=MIDDLE  ALT=\"x=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = width of the pool, in feet<BR>\n" );
document.write( "leads to<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3=6 ALIGN=MIDDLE  ALT=\"x%2B3=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > = length of the pool, in feet, and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A6=highlight%2818%29 ALIGN=MIDDLE  ALT=\"3%2A6=highlight%2818%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = area of just the pool, in square feet. </SPAN>\n" );
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