document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1027389>Question 1027389</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangular piece of metal is 10 in longer than it is wide. Squares with sides 2 in long are cut from the four corners and the flaps are folded upward to form an open box. If the volume of the box is 528in^3&#8203;, what were the original dimensions of the piece of&#8203; metal? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #642745 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=642745\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let width of metal plate be x<BR>\n" );
document.write( "length = x+10\r<BR>\n" );
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document.write( "after cutting the corners\r<BR>\n" );
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document.write( "width = (x-4)<BR>\n" );
document.write( "and \r<BR>\n" );
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document.write( "Length = (x+10)-4= x+6\r<BR>\n" );
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document.write( "The height will be 2 inches\r<BR>\n" );
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document.write( "Volume = L * W * H\r<BR>\n" );
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document.write( "(x-4)(x+6)*2=528\r<BR>\n" );
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document.write( "(x-4)(x+6) = 264\r<BR>\n" );
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document.write( "x^2+2x-24=264\r<BR>\n" );
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document.write( "x^2+2x =288\r<BR>\n" );
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document.write( "x^2+2x+1= 288\r<BR>\n" );
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document.write( "(x+1)^2=289\r<BR>\n" );
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document.write( "take the square root\r<BR>\n" );
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document.write( "(x+1) = +/- 17\r<BR>\n" );
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document.write( "x= 16 or -18\r<BR>\n" );
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document.write( "ignore negative \r<BR>\n" );
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document.write( "width = 16in and length = 26in </SPAN>\n" );
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