document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1102143>Question 1102143</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An open box is formed from a rectangular piece of cardboard that is 3 in. longer than it is wide, by removing squares of side 2 in. from each corner and folding up the sides. If the volume of the carton is then 216 in^3, what were the dimensions of the original piece of cardboard? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #716798 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=716798\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> continuing Stan's work before he erred.<BR>\n" );
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document.write( "Volume = length * width * height<BR>\n" );
document.write( "216 = (w-1)*(w-4)*w<BR>\n" );
document.write( "height =2<BR>\n" );
document.write( "216 = (w-1)*(w-4)*2<BR>\n" );
document.write( "108=(w-1)*(w-4)<BR>\n" );
document.write( "108=w^2-5w+4<BR>\n" );
document.write( "0=w^2-5w-104<BR>\n" );
document.write( "factor <BR>\n" );
document.write( "(w+8)*(w-13)=0<BR>\n" );
document.write( "Taking only the positive solution <BR>\n" );
document.write( "original w=13 inches<BR>\n" );
document.write( "cardboard that is 3 in. longer than it is wide<BR>\n" );
document.write( "original length=w+3=16 inches\r<BR>\n" );
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document.write( " </SPAN>\n" );
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