document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=296244>Question 296244</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangular piece of cardboard has a total length that measures 6 inches more than its total width. A 2-inch by 2-inch square is cut out of each corner, and the remaining sides are turned up at the dotted lines and their edges taped together to make a box with no top. The volume of the box is 110 cubic inches. What were the dimensions of the original piece of cardboard? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #213508 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=213508\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If L and W are the length and width, respectively, of the original piece of cardboard, and the cut-out corners are 2X2 inches, then the volume (V) of the newly-formed open top box with a height (h) of 2 inches can be expressed as:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+%28L-4%29%2A%28W-4%29%2Ah ALIGN=MIDDLE  ALT=\"V+=+%28L-4%29%2A%28W-4%29%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+W%2B6%29 ALIGN=MIDDLE  ALT=\"L+=+W%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+%28%28W%2B6%29-4%29%2A%28W-4%29%2A2 ALIGN=MIDDLE  ALT=\"V+=+%28%28W%2B6%29-4%29%2A%28W-4%29%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the volume of this box is given as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+110 ALIGN=MIDDLE  ALT=\"V+=+110\"   DISABLED_style= \"max-width:90%; height:auto;\" >cu.in., so we can write:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=110+=+%28W%2B2%29%2A%28W-4%29%2A2 ALIGN=MIDDLE  ALT=\"110+=+%28W%2B2%29%2A%28W-4%29%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify and solve for W.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=110+=+2%28W%5E2-2W-8%29 ALIGN=MIDDLE  ALT=\"110+=+2%28W%5E2-2W-8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 2.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=55+=+W%5E2-2W-8 ALIGN=MIDDLE  ALT=\"55+=+W%5E2-2W-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 55 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5E2-2W-63+=+0 ALIGN=MIDDLE  ALT=\"W%5E2-2W-63+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solve by factoring.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28W%2B7%29%28W-9%29+=+0 ALIGN=MIDDLE  ALT=\"%28W%2B7%29%28W-9%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > so that...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+-7 ALIGN=MIDDLE  ALT=\"W+=+-7\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+9 ALIGN=MIDDLE  ALT=\"W+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Discard the negative solution as the width W is a positive quantity.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28W+=+9%29 ALIGN=MIDDLE  ALT=\"highlight%28W+=+9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >inches. and...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+W%2B6 ALIGN=MIDDLE  ALT=\"L+=+W%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28L+=+15%29 ALIGN=MIDDLE  ALT=\"highlight%28L+=+15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >inches. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );