document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1008424>Question 1008424</A>: <I><SPAN STYLE=\"word-break: break-all;\"> jess and her husband made a rectangular swimming pool measuring 28 feet by 42 feet. They want to add a decorative tile border of uniform width around sides of the pool. How wide can they make the tile border if they purchased enough tile to cover 624 square feet?<BR>\n" );
document.write( "The maximum width of the border can be [   ] feet?<BR>\n" );
document.write( "(Type an exact answer using radicals as needed) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #624120 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=624120\">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=drawing%28300%2C225%2C-1%2C50%2C-1%2C37.25%2C%0D%0Arectangle%280%2C0%2C50%2C36%29%2C%0D%0Arectangle%284%2C4%2C46%2C32%29%2C%0D%0Alocate%2823%2C32%2C42ft%29%2C%0D%0Alocate%284.5%2C20%2C28ft%29%2C%0D%0Agreen%28arrow%286%2C32%2C6%2C36%29%29%2C%0D%0Agreen%28arrow%286%2C36%2C6%2C32%29%29%2C%0D%0Alocate%286.5%2C35.5%2Cgreen%28w%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "With length in ft and areas in square feet,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28pool_area=42%2A28%2Ctotal_area=%2842%2B2w%29%2A%2828%2B2w%29%2Cborder_area=624%29 ALIGN=MIDDLE  ALT=\"system%28pool_area=42%2A28%2Ctotal_area=%2842%2B2w%29%2A%2828%2B2w%29%2Cborder_area=624%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2842%2B2w%29%2A%2828%2B2w%29-42%2A28=624 ALIGN=MIDDLE  ALT=\"%2842%2B2w%29%2A%2828%2B2w%29-42%2A28=624\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42%2A28%2B42%2A%282w%29%2B%282w%29%2A28%2B%282w%29%2A%282w%29-42%2A28=624 ALIGN=MIDDLE  ALT=\"42%2A28%2B42%2A%282w%29%2B%282w%29%2A28%2B%282w%29%2A%282w%29-42%2A28=624\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42%2A28%2B84w%2B56w%2B4w%5E2-42%2A28=624 ALIGN=MIDDLE  ALT=\"42%2A28%2B84w%2B56w%2B4w%5E2-42%2A28=624\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=140w%2B4w%5E2=624 ALIGN=MIDDLE  ALT=\"140w%2B4w%5E2=624\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35w%2Bw%5E2=156 ALIGN=MIDDLE  ALT=\"35w%2Bw%5E2=156\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We can solve the quadratic equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35w%2Bw%5E2=156 ALIGN=MIDDLE  ALT=\"35w%2Bw%5E2=156\"   DISABLED_style= \"max-width:90%; height:auto;\" > by any method<BR>\n" );
document.write( "(\"completing the square\", factoring, or using the quadratic formula),<BR>\n" );
document.write( "to get the solutions<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=4 ALIGN=MIDDLE  ALT=\"w=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=-36 ALIGN=MIDDLE  ALT=\"w=-36\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "For this word problem, the solution <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=-36 ALIGN=MIDDLE  ALT=\"w=-36\"   DISABLED_style= \"max-width:90%; height:auto;\" > does not make sense,<BR>\n" );
document.write( "so the maximum with for the border (achieved using all the tile available) is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%284ft%29 ALIGN=MIDDLE  ALT=\"highlight%284ft%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "SOLVING THE EQUATION BY COMPLETING THE SQUARE:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5E2%2B35w=156 ALIGN=MIDDLE  ALT=\"w%5E2%2B35w=156\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5E2%2B35w%2B%2835%2F2%29%5E2-%2835%2F2%29%5E2=156 ALIGN=MIDDLE  ALT=\"w%5E2%2B35w%2B%2835%2F2%29%5E2-%2835%2F2%29%5E2=156\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28w%2B35%2F2%29%5E2-1225%2F4=156 ALIGN=MIDDLE  ALT=\"%28w%2B35%2F2%29%5E2-1225%2F4=156\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28w%2B35%2F2%29%5E2=1225%2F4%2B156 ALIGN=MIDDLE  ALT=\"%28w%2B35%2F2%29%5E2=1225%2F4%2B156\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28w%2B35%2F2%29%5E2=1225%2F4%2B624%2F4 ALIGN=MIDDLE  ALT=\"%28w%2B35%2F2%29%5E2=1225%2F4%2B624%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28w%2B35%2F2%29%5E2=1849%2F4 ALIGN=MIDDLE  ALT=\"%28w%2B35%2F2%29%5E2=1849%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28w%2B35%2F2%29%5E2=%2843%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"%28w%2B35%2F2%29%5E2=%2843%2F2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28w%2B35%2F2=43%2F2%2C%22or%22%2Cw%2B35%2F2=-43%2F2%29 ALIGN=MIDDLE  ALT=\"system%28w%2B35%2F2=43%2F2%2C%22or%22%2Cw%2B35%2F2=-43%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28w=43%2F2-35%2F2%2C%22or%22%2Cw=-43%2F2-35%2F2%29 ALIGN=MIDDLE  ALT=\"system%28w=43%2F2-35%2F2%2C%22or%22%2Cw=-43%2F2-35%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28w=8%2F2%2C%22or%22%2Cw=-78%2F2%29 ALIGN=MIDDLE  ALT=\"system%28w=8%2F2%2C%22or%22%2Cw=-78%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28w=4%2C%22or%22%2Cw=-36%29 ALIGN=MIDDLE  ALT=\"system%28w=4%2C%22or%22%2Cw=-36%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );