document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1126992>Question 1126992</A>: <I><SPAN STYLE=\"word-break: break-all;\"> To comply with FAA regulations, a piece of luggage must be checked to the luggage compartment of the plane if its combined linear measurement of length, width, and height is over 45 in. Katie's suitcase has a total volume of 4200 in.3. Its length is 30 in., and its width is 4 in. greater than the height. Find the dimensions of the suitcase. Will this suitcase need to be checked? Explain.Solve by completing the square.\r<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 #743338 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=743338\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> height is x<BR>\n" );
document.write( "width is x+4<BR>\n" );
document.write( "volume is 30x(x+4)=4200<BR>\n" );
document.write( "30x^2+120x-4200=0<BR>\n" );
document.write( "divide by 30<BR>\n" );
document.write( "x^2+4x-140=0<BR>\n" );
document.write( "(x+14)(x-10)=0<BR>\n" );
document.write( "x=10 inches height<BR>\n" );
document.write( "x+4=14 inches width<BR>\n" );
document.write( "the three numbers area 30,10,14, and theyadd to 54.  Will need to be checked.\r<BR>\n" );
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document.write( "By completing the square<BR>\n" );
document.write( "x^2+4x+4=144, moving the 140 across<BR>\n" );
document.write( "(x+2)^2=12^2<BR>\n" );
document.write( "x+2=+/-12<BR>\n" );
document.write( "x=-14 or 10 </SPAN>\n" );
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