document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=205148>Question 205148</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I need help solving this problem. \r<BR>\n" );
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document.write( "A rectangular piece of cardboard 11 inches by 14 inches is made into a box by cutting idential squares from each corner and folding up the sides.  If the bottom of the box turns out to haave an area of 80 in^2, what size squares were cut from the corners?\r<BR>\n" );
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document.write( "I am setting up my problem as:  80 = (w-11)(w-14) but I am not sure if I am barking up the wrong alley (so to speak).  Any help or suggestions would be greatly appreciated.\r<BR>\n" );
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document.write( "Thank you - Lori </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #154864 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=154864\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (11-2x)(14-2x)=80<BR>\n" );
document.write( "154-28x-22x+4x^2=80<BR>\n" );
document.write( "4x^2-50x+154-80=0<BR>\n" );
document.write( "4x^2-50x+74=0<BR>\n" );
document.write( "Using the quadratic equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > we get:<BR>\n" );
document.write( "x=(50+-sqrt[-50^2-4*4*74])/2*4<BR>\n" );
document.write( "x=(50+-sqrt[2,500-1,184])/8<BR>\n" );
document.write( "x=(50+-sqrt1,316)/8<BR>\n" );
document.write( "x=(50+-36.2767)/8<BR>\n" );
document.write( "x=(86.2767)/8<BR>\n" );
document.write( "x=10.78 not an ans.<BR>\n" );
document.write( "x=(50-36.2767)/8<BR>\n" );
document.write( "x=13.7233/8<BR>\n" );
document.write( "x=1.7154 in. is the size of the square removed from the 4 corners.<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "(11-2*1.7154)(14-2*1.7154)=80<BR>\n" );
document.write( "(11-3.43)(14-3.43)=80<BR>\n" );
document.write( "7.57*10.57=80<BR>\n" );
document.write( "80~80 </SPAN>\n" );
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