document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=242910>Question 242910</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The width of a rectangular box is 4 times its height, and its length is 7 more than its height. The volume of the box is  106ft^3. Find the height of the box. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #177916 by </B><A HREF=/tutors/aboutme.mpl?userid=JimboP1977><B>JimboP1977(311)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=JimboP1977><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=JimboP1977><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=177916\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> w=4h<BR>\n" );
document.write( "L=7+h\r<BR>\n" );
document.write( "\n" );
document.write( "(h*w*L=106)<BR>\n" );
document.write( "h*4h*(7+h)=106<BR>\n" );
document.write( "4h^2(7+h) = 106<BR>\n" );
document.write( "28h^2+4h^3 -106=0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-10%2C+5%2C+-100%2C+100%2C+4x%5E3%2B28x%5E2-106%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-10%2C+5%2C+-100%2C+100%2C+4x%5E3%2B28x%5E2-106%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "We can see from the graph that the height is approximately 1.75 feet. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );