document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=716557>Question 716557</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Malik's want to build an even tile border around their pool.  Their pool is 110 feet long by 40 feet wide.  Let x= width of the border.\r<BR>\n" );
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document.write( "1.)  Write an expression for the area of the border in terms of x.\r<BR>\n" );
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document.write( "2.) If the Malik's have calculated that they will need 936 square feet of tile for the border they chose, how wide is it? Use a strategy other than the quadratic formula. \r<BR>\n" );
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document.write( "Thank you so much for whatever help you can provide!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #439896 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</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=439896\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Total Area minus pool area gives border area.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28110%2B2x%29%2840%2B2x%29-%28110%29%2840%29 ALIGN=MIDDLE  ALT=\"%28110%2B2x%29%2840%2B2x%29-%28110%29%2840%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >= Border Area.  That simplifies depending on how far you take it, to Border Area =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4%28x%2B55%29%28x%2B20%29-4400 ALIGN=MIDDLE  ALT=\"+4%28x%2B55%29%28x%2B20%29-4400\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Note that the pool \"area\" alone is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=110%2A40 ALIGN=MIDDLE  ALT=\"110%2A40\"   DISABLED_style= \"max-width:90%; height:auto;\" > sq.ft.\r<BR>\n" );
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document.write( "Finding how wide the border if the area must be 936 sq.ft., why would we not use quadratic formula?  If we begin with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=936=4%28x%2B55%29%28x%2B20%29-4400 ALIGN=MIDDLE  ALT=\"936=4%28x%2B55%29%28x%2B20%29-4400\"   DISABLED_style= \"max-width:90%; height:auto;\" >, when we carry through the steps, ... we obtain without any trouble, the much simpler and good equation of ...\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x%5E2%2B75-234=0%29 ALIGN=MIDDLE  ALT=\"highlight%28x%5E2%2B75-234=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  \r<BR>\n" );
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document.write( "That does not appear factorable.  Why should we use something other than quadratic formula?  THE TRICK IS TO FACTOR 234.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=234=2%2A3%2A3%2A13 ALIGN=MIDDLE  ALT=\"234=2%2A3%2A3%2A13\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and 3 and 2*3*13 are the same as 3 and 78.<BR>\n" );
document.write( "The quadratic equation could be factored into:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28x%2B78%29%28x-3%29=0%29 ALIGN=MIDDLE  ALT=\"highlight%28%28x%2B78%29%28x-3%29=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "The reasonable answer finally is 3 feet width.  x=3.  </SPAN>\n" );
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