document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1054231>Question 1054231</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangular piece of cardboard 11 inches by 14 inches is made into a box by cutting identical squares from each corner and folding up the sides.  If the bottom of the box turns out to have an area of 80 in^2, what size squares were cut from the corners?\r<BR>\n" );
document.write( "\n" );
document.write( "The equation I am coming up with does not give me an answer that would fit. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #669437 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=669437\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> So you fold up a square of size, X, from each edge. <BR>\n" );
document.write( "Let's call the left over part A on the width and B on the length so that,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X%2BA%2BX=11 ALIGN=MIDDLE  ALT=\"X%2BA%2BX=11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X%2BB%2BX=14 ALIGN=MIDDLE  ALT=\"X%2BB%2BX=14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2X%2BA=11 ALIGN=MIDDLE  ALT=\"2X%2BA=11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2X%2BB=14 ALIGN=MIDDLE  ALT=\"2X%2BB=14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and the area of the bottom,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB=80 ALIGN=MIDDLE  ALT=\"AB=80\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So from the length and width,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=11-2X ALIGN=MIDDLE  ALT=\"A=11-2X\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=14-2X ALIGN=MIDDLE  ALT=\"B=14-2X\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substituting,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2811-2X%29%2814-2X%29=80 ALIGN=MIDDLE  ALT=\"%2811-2X%29%2814-2X%29=80\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4X%5E2-50X%2B154=80 ALIGN=MIDDLE  ALT=\"4X%5E2-50X%2B154=80\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4X%5E2-50X%2B74=0 ALIGN=MIDDLE  ALT=\"4X%5E2-50X%2B74=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2X%5E2-25X%2B37=0 ALIGN=MIDDLE  ALT=\"2X%5E2-25X%2B37=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Complete the square,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28X%5E2-%2825%2F2%29X%29%2B37=0 ALIGN=MIDDLE  ALT=\"2%28X%5E2-%2825%2F2%29X%29%2B37=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28X%5E2-%2825%2F2%29X%2B%2825%2F4%29%5E2%29%2B37=2%2825%2F4%29%5E2 ALIGN=MIDDLE  ALT=\"2%28X%5E2-%2825%2F2%29X%2B%2825%2F4%29%5E2%29%2B37=2%2825%2F4%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28X-%2825%2F4%29%29%5E2=625%2F16-296%2F16 ALIGN=MIDDLE  ALT=\"%28X-%2825%2F4%29%29%5E2=625%2F16-296%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28X-%2825%2F4%29%29%5E2=329%2F16 ALIGN=MIDDLE  ALT=\"%28X-%2825%2F4%29%29%5E2=329%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X-25%2F4=0+%2B-sqrt%28329%29%2F4 ALIGN=MIDDLE  ALT=\"X-25%2F4=0+%2B-sqrt%28329%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X=25%2F4+%2B-+sqrt%28329%29%2F4 ALIGN=MIDDLE  ALT=\"X=25%2F4+%2B-+sqrt%28329%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Although there are two answers, we are limited by,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%3E0 ALIGN=MIDDLE  ALT=\"A%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B%3E0 ALIGN=MIDDLE  ALT=\"B%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which leads to the solution,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X=25%2F4-sqrt%28329%29%2F4 ALIGN=MIDDLE  ALT=\"X=25%2F4-sqrt%28329%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );