document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=139276>Question 139276</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Janice has enough money to purchase pebbles to cover 74 square feet.  She wishes to form a border around her pool.  The pool measures 25 ft. in length and 10 ft. in width.  How wide should she make the border? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #101549 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=101549\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Presuming that she wants to make a uniform border (same width all the way around), let that measurement be x.\r<BR>\n" );
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document.write( "Since she will have the width of the border all the way around the pool, the overall dimensions are increased by 2x in each direction -- one width of x on one side, and another width of x on the other side, top and bottom, same thing.\r<BR>\n" );
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document.write( "The area of the pool is given by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=LW=25%2A10=250 ALIGN=MIDDLE  ALT=\"A=LW=25%2A10=250\"   DISABLED_style= \"max-width:90%; height:auto;\" > square feet.\r<BR>\n" );
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document.write( "The overall area of the pool and the border has to be 250 plus 74 because she can only afford 74 sq feet of pebbles.  But the overall area has to be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%2825%2B2x%29%2810%2B2x%29 ALIGN=MIDDLE  ALT=\"A=%2825%2B2x%29%2810%2B2x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and this is the expression that has to equal 324 square feet.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2825%2B2x%29%2810%2B2x%29=324 ALIGN=MIDDLE  ALT=\"%2825%2B2x%29%2810%2B2x%29=324\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Expand the binomials:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=250%2B50x%2B20x%2B4x%5E2=324 ALIGN=MIDDLE  ALT=\"250%2B50x%2B20x%2B4x%5E2=324\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Collect like terms and put the equation into standard (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2%2Bbx%2Bc=0 ALIGN=MIDDLE  ALT=\"ax%5E2%2Bbx%2Bc=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >) form.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2%2B70x-74=0 ALIGN=MIDDLE  ALT=\"4x%5E2%2B70x-74=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide by 2 to make the coefficients smaller and more manageable:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2B35x-37 ALIGN=MIDDLE  ALT=\"2x%5E2%2B35x-37\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This ugliness actually factors, believe it or not:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B37%29%28x-1%29=0 ALIGN=MIDDLE  ALT=\"%282x%2B37%29%28x-1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Using the Zero Product Rule:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-18.5 ALIGN=MIDDLE  ALT=\"x=-18.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1 ALIGN=MIDDLE  ALT=\"x=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Exclude the extraneous negative root introduced by squaring the variable in the process of solving the problem (we are looking for a positive measure of length, after all) and you can see your answer is 1 foot.\r<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2825%2B2%281%29%29%2810%2B2%281%29%29=27%2A12=324 ALIGN=MIDDLE  ALT=\"%2825%2B2%281%29%29%2810%2B2%281%29%29=27%2A12=324\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=324-%2825%2A10%29=324-250=74 ALIGN=MIDDLE  ALT=\"324-%2825%2A10%29=324-250=74\"   DISABLED_style= \"max-width:90%; height:auto;\" > Answer checks. </SPAN>\n" );
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