document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1205671>Question 1205671</A>: <I><SPAN STYLE=\"word-break: break-all;\"> By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box may be made (see the accompanying figure). If the cardboard is l = 16 in. long and w = 9 in. wide, find the dimensions of the resulting box if it is to have a total surface area of 128 in.2<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #842635 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=842635\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Original Dimensions cardboard 16 in. long, 9 in. wide\r<BR>\n" );
document.write( "\n" );
document.write( "Want box to have surface area 128 square inches\r<BR>\n" );
document.write( "\n" );
document.write( "cut squares from the corners of x inches each.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "EACH area surface pieces<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2816-2x%29%289-2x%29 ALIGN=MIDDLE  ALT=\"%2816-2x%29%289-2x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2816-2x%29 ALIGN=MIDDLE  ALT=\"x%2816-2x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > two of these, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%289-2x%29 ALIGN=MIDDLE  ALT=\"x%289-2x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > two of these;\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Account for the total area (assuming only one side of surface; not both sides.)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2816-2x%29%289-2x%29%2B2x%2816-2x%29%2B2x%289-2x%29=128 ALIGN=MIDDLE  ALT=\"%2816-2x%29%289-2x%29%2B2x%2816-2x%29%2B2x%289-2x%29=128\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "-\r<BR>\n" );
document.write( "\n" );
document.write( "Try to simplify what you can, first.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%288-x%29%289-2x%29%2B2%28x%2816-2x%29%2Bx%289-2x%29%29=2%2A64 ALIGN=MIDDLE  ALT=\"2%288-x%29%289-2x%29%2B2%28x%2816-2x%29%2Bx%289-2x%29%29=2%2A64\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288-x%29%289-2x%29%2B%2816x-2x%5E2%2B9x-2x%5E2%29=64 ALIGN=MIDDLE  ALT=\"%288-x%29%289-2x%29%2B%2816x-2x%5E2%2B9x-2x%5E2%29=64\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=72-9x-16x%2B2x%5E2%2B25x-4x%5E2=64 ALIGN=MIDDLE  ALT=\"72-9x-16x%2B2x%5E2%2B25x-4x%5E2=64\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=72-2x%5E2=64 ALIGN=MIDDLE  ALT=\"72-2x%5E2=64\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36-x%5E2=32 ALIGN=MIDDLE  ALT=\"36-x%5E2=32\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=4 ALIGN=MIDDLE  ALT=\"x%5E2=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=2%29 ALIGN=MIDDLE  ALT=\"highlight%28x=2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-------------Use this to find the dimensions of the box. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );