document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=299905>Question 299905</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Four squares, each with sides 4 cm long, are cut from the corners of a rectangular piece of cardboard having an area 560 cm^2.  The flaps are then bent up to form an open topped box having volume 960 cm^3.  Find the dimensions of the original piece of cardboard.<BR>\n" );
document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #215389 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=215389\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> xy=560 or x=560/y<BR>\n" );
document.write( "(x-8)(y-8)*4=960<BR>\n" );
document.write( "(560/y-8)(y-8)*4=960 divide both sides by 4.<BR>\n" );
document.write( "(560-8y-4480/y+64)=240<BR>\n" );
document.write( "(-8y-4480/y)=240-64-560<BR>\n" );
document.write( "-8y-4480/y=-384<BR>\n" );
document.write( "(-8y*y-4480)/y=-384 cross multiply.<BR>\n" );
document.write( "-8y^2-4480=-384y<BR>\n" );
document.write( "-8y^2+384y=4480<BR>\n" );
document.write( "8y^2-384y+4480=0<BR>\n" );
document.write( "8(y^2-48y+560)=0<BR>\n" );
document.write( "8(y-28)(y-20)=0<BR>\n" );
document.write( "y-28=0<BR>\n" );
document.write( "y=28 x=560/28=20 ans.<BR>\n" );
document.write( "y-20=0<BR>\n" );
document.write( "y=20 x=560/20=28 ans.<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "(28-8)(20-8)*4=960<BR>\n" );
document.write( "20*12*4=960<BR>\n" );
document.write( "960=960<BR>\n" );
document.write( " </SPAN>\n" );
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