document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=457211>Question 457211</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Joshua Rogers has a sheet of tin 12cm by 16cm. He plans to make a box by cutting equal squares out of each of the four corners and folding up the remaining edges. How large a square should he cut so that the finished box will have a length that is 5 cm less than twice the width?\r<BR>\n" );
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document.write( "Help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #313704 by </B><A HREF=/tutors/aboutme.mpl?userid=amoresroy><B>amoresroy(361)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=amoresroy><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=amoresroy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=313704\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Joshua Rogers has a sheet of tin 12cm by 16cm. He plans to make a box by cutting equal squares out of each of the four corners and folding up the remaining edges. How large a square should he cut so that the finished box will have a length that is 5 cm less than twice the width?\r<BR>\n" );
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document.write( "Let x = the number of cm the square should be cut<BR>\n" );
document.write( "    L = the length of the finished box<BR>\n" );
document.write( "    W = the width of the finished box\r<BR>\n" );
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document.write( "Equations:\r<BR>\n" );
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document.write( "L = 2W -5\r<BR>\n" );
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document.write( "Where:<BR>\n" );
document.write( "L = 16-2x<BR>\n" );
document.write( "and <BR>\n" );
document.write( "W = 12-2x<BR>\n" );
document.write( "Eliminating x you get<BR>\n" );
document.write( "L = W +4 \r<BR>\n" );
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document.write( "Substituting L=W+4 in first equation you get<BR>\n" );
document.write( "W + 4 = 2W - 5<BR>\n" );
document.write( "W = 9\r<BR>\n" );
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document.write( "Substituting W=9 in 3rd equation you get<BR>\n" );
document.write( "2x = 12 - 9<BR>\n" );
document.write( "x = 1.5<BR>\n" );
document.write( "The square should he cut by 1.5 cm so that the finished box will have a length that is 5 cm less than twice the width.\r<BR>\n" );
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document.write( "Warm regards,<BR>\n" );
document.write( "Roy\r<BR>\n" );
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