document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1014004>Question 1014004</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a rectangular piece of cardboard has an area of 150 square centimeters. By cutting a square 2 centimeters wide on each side each of the four corners and folding up the sides, an open box body is formed having a volume of 132 cubic centimeters. Find the length and width of the original cardboard<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #630303 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=630303\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a rectangular piece of cardboard has an area of 150 square centimeters. By cutting a square 2 centimeters wide on each side each of the four corners and folding up the sides, an open box body is formed having a volume of 132 cubic centimeters. Find the length and width of the original cardboard<BR>\n" );
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document.write( "Original DATA:<BR>\n" );
document.write( "L*W = 150 cm^2<BR>\n" );
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document.write( "New DATA:<BR>\n" );
document.write( "(L-4)(W-4)*2 = 132<BR>\n" );
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document.write( "(L-4)(W-4) = 66<BR>\n" );
document.write( "LW -4L-4W+16 = 66<BR>\n" );
document.write( "150 -4L -4W = 50<BR>\n" );
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document.write( "4(L + W) = 100<BR>\n" );
document.write( "L+W = 25<BR>\n" );
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document.write( "Substitute for \"L\" and solve for W::<BR>\n" );
document.write( "(25-W)(W) = 150<BR>\n" );
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document.write( "W^2 -25W +150 = 0<BR>\n" );
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document.write( "(W-15)(W-10) = 0<BR>\n" );
document.write( "W = 15<BR>\n" );
document.write( "L = 10<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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