document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=280710>Question 280710</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Rick has a rectangular piece of cardboard that is twice as long as it is wide.  From each of the 4 corners, Rick cuts a 2in square and turns up the flaps to form an uncovered box.  If the volume of the box is 896in^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 #204020 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=204020\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> X*2X=2X^2 is the original dimensions of the cardboard.<BR>\n" );
document.write( "W*L*H=VOLUME<BR>\n" );
document.write( "W=(x-2*2)=x-4 in.<BR>\n" );
document.write( "L=(2x-2*2)=2x-4 in.<BR>\n" );
document.write( "H=2 in.<BR>\n" );
document.write( "(x-4)(2x-4)*2=896<BR>\n" );
document.write( "2(2x^2-8x-4x+16)=896 divide by 2<BR>\n" );
document.write( "2x^2-12x+16=448<BR>\n" );
document.write( "2x^2-12x+16-448=0<BR>\n" );
document.write( "2x^2-12x-432=0<BR>\n" );
document.write( "2(x^2-6x-216)=0<BR>\n" );
document.write( "2(x-18)(x+12)=0<BR>\n" );
document.write( "x-18=0<BR>\n" );
document.write( "x=18 <BR>\n" );
document.write( "18-4=14 one side after corner cuts.<BR>\n" );
document.write( "2*18=36-4=32 the other side after corner cuts.<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "14*32*2=896<BR>\n" );
document.write( "896=896\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );