document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=681107>Question 681107</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with this word problem:My online HW is giving me one last try on this problem.<BR>\n" );
document.write( "The width of a rectangular piece of cardboard is 7 inches less than the length. A square piece that measures 3 inches on each side is cut from the corner, than the sides are turned up to make a box with volume 360 inches^3. Find the length and width of the original piece of cardboard.<BR>\n" );
document.write( "Thank you so much for looking at the problem. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #422569 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=422569\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The width of a rectangular piece of cardboard is 7 inches less than the length.<BR>\n" );
document.write( " A square piece that measures 3 inches on each side is cut from the corner, then the sides are turned up to make a box with volume 360 inches^3.<BR>\n" );
document.write( " Find the length and width of the original piece of cardboard.<BR>\n" );
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document.write( "Let L = the original length of the cardboard<BR>\n" );
document.write( "Let W = the original width<BR>\n" );
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document.write( "\"The width of a rectangular piece of cardboard is 7 inches less than the length.\"<BR>\n" );
document.write( "W = L - 7<BR>\n" );
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document.write( "The removal of these 3\" squares subtract 6\" for the length and width<BR>\n" );
document.write( "Box Length = (L-6)<BR>\n" );
document.write( "Box Width = (W-6)<BR>\n" );
document.write( "Replace W with (L-7)<BR>\n" );
document.write( "(L-7) - 6 = (L-13) is the box width in terms of L<BR>\n" );
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document.write( "The height of the box will be 3 inches<BR>\n" );
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document.write( "The volume equation<BR>\n" );
document.write( "3(L-6)(L-13) = 360<BR>\n" );
document.write( "FOIL<BR>\n" );
document.write( "3(L^2 - 13L - 6L + 78) = 360<BR>\n" );
document.write( "divide both sides by 3<BR>\n" );
document.write( "L^2 - 19L + 78 = 120<BR>\n" );
document.write( "L^2 - 19L + 78 - 120 = 0<BR>\n" );
document.write( "L^2 - 19L - 42 = 0<BR>\n" );
document.write( "Factors to<BR>\n" );
document.write( "(L - 21)(L + 2) = 0<BR>\n" );
document.write( "the positive solution<BR>\n" );
document.write( "L = 21\" is the length of the original cardboard<BR>\n" );
document.write( "and<BR>\n" );
document.write( "W = 21 - 7<BR>\n" );
document.write( "W = 14\" is the width<BR>\n" );
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document.write( "Check this out<BR>\n" );
document.write( "21 - 6 = 15\" box length<BR>\n" );
document.write( "14 - 6 =  8\" box width<BR>\n" );
document.write( "Vol: 15 * 8 * 3 = 360 cu/in\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );