document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=905317>Question 905317</A>: <I><SPAN STYLE=\"word-break: break-all;\"> APPLIED PROBLEMS ( need equation and solution)<BR>\n" );
document.write( "A rectangular cardboard is to be made into an open box by cutting a 2cm square piece from each corner and turning up the sides. If the perimeter of the cardboard is 60cm and the volume of the resulting box is 224 cm^3, what are the dimensions of the cardboard.? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #549133 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=549133\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let length of the card board be x<BR>\n" );
document.write( "and the width of the card board be y\r<BR>\n" );
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document.write( "length of box = (x-4) ( 2 cut from each side)<BR>\n" );
document.write( "width of box = (y-4)\r<BR>\n" );
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document.write( "height of box = 2 cm\r<BR>\n" );
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document.write( "volume of box = l*b*h\r<BR>\n" );
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document.write( "224 = (x-4)(y-4)*2<BR>\n" );
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document.write( "112 = xy-4x-4y+16\r<BR>\n" );
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document.write( "96 = xy-4x-4y\r<BR>\n" );
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document.write( "2(x+y) = 60<BR>\n" );
document.write( "x+y=30\r<BR>\n" );
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document.write( "96=xy-4(x+y)\r<BR>\n" );
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document.write( "96=xy-4*30<BR>\n" );
document.write( "96=xy-120<BR>\n" );
document.write( "216 =xy<BR>\n" );
document.write( "x=216/y\r<BR>\n" );
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document.write( "Now x+y =30\r<BR>\n" );
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document.write( "216/y + y =30\r<BR>\n" );
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document.write( "multiply by y<BR>\n" );
document.write( "216+y^2=30y\r<BR>\n" );
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document.write( "y^2-30y+216=0\r<BR>\n" );
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document.write( "y^2-18y-12y+216=0\r<BR>\n" );
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document.write( "y(y-18)-12(y-18)=0\r<BR>\n" );
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document.write( "(y-12)(y-18)=0\r<BR>\n" );
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document.write( "y= 12 OR 18\r<BR>\n" );
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document.write( "The dimensions of the cardboard are 18 by 12 cm\r<BR>\n" );
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document.write( " </SPAN>\n" );
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