document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=958124>Question 958124</A>: <I><SPAN STYLE=\"word-break: break-all;\">  \r<BR>\n" );
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document.write( "A rectangular piece of sheet metal has a length that is 2 times its width. In each corner a square with sides of 2.4 inches is cut out. The outer strips are then bent up to from an open box with a volume of 155 <BR>\n" );
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document.write( ". Find the length (in inches) of the original sheet of metal.\r<BR>\n" );
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document.write( " Express your answer to three significant digits <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 #585523 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=585523\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Best to do this completely in variables and substitute the given values last.\r<BR>\n" );
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document.write( "u, the side length of the cut out squares;<BR>\n" );
document.write( "w, original width<BR>\n" );
document.write( "L, original length<BR>\n" );
document.write( "v, volume of the open box formed<BR>\n" );
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document.write( "L=2w<BR>\n" );
document.write( "u=2.4<BR>\n" );
document.write( "v=155<BR>\n" );
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document.write( "Goal is to solve for L and w.\r<BR>\n" );
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document.write( "Folding the flaps makes a base area of the box, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28w-2u%29%28L-2u%29=%28w-2u%29%282w-2u%29 ALIGN=MIDDLE  ALT=\"%28w-2u%29%28L-2u%29=%28w-2u%29%282w-2u%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The volume will be the base area multiplied by u.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28w-2u%29%282w-2u%29u=v ALIGN=MIDDLE  ALT=\"%28w-2u%29%282w-2u%29u=v\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is an equation with only one unknown, being w.  The other variables are given.\r<BR>\n" );
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document.write( "Simplify that equation.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2uw%5E2-4u%5E2w-2u%5E2w%2B4u%5E3-v=0 ALIGN=MIDDLE  ALT=\"2uw%5E2-4u%5E2w-2u%5E2w%2B4u%5E3-v=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%282uw%5E2-5u%5E2w%2B4u%5E3-v=0%29 ALIGN=MIDDLE  ALT=\"highlight_green%282uw%5E2-5u%5E2w%2B4u%5E3-v=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Instead of continuing this completely in symbols, substituting the given values NOW might make the rest of the work, either factoring if possible, or general solution for a quadratic equation, easier to do.  Your choice.  You take the rest of this.  Solve for w, and use the result to evaluate L. </SPAN>\n" );
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