document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1128456>Question 1128456</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The formula for the area of a trapezoid is A = h(B+b) / 2.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "The area of the trapezoidal truss, is 24 square meters. Find the height of the trapezoid if one base is 8 meters and the other base is the same as the height.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #744912 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=744912\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Let B be the known base of length 8; then b (the other base) and h (the height) are the same.<br><BR>\n" );
document.write( "Set B=8 and b=h in the area formula, knowing that the area is 24, and solve the resulting equation for h.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24+=+%28h%288%2Bh%29%29%2F2 ALIGN=MIDDLE  ALT=\"24+=+%28h%288%2Bh%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48+=+8h%2Bh%5E2 ALIGN=MIDDLE  ALT=\"48+=+8h%2Bh%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5E2%2B8h-48+=+0 ALIGN=MIDDLE  ALT=\"h%5E2%2B8h-48+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28h%2B12%29%28h-4%29+=+0 ALIGN=MIDDLE  ALT=\"%28h%2B12%29%28h-4%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+-12 ALIGN=MIDDLE  ALT=\"h+=+-12\"   DISABLED_style= \"max-width:90%; height:auto;\" >  or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+4 ALIGN=MIDDLE  ALT=\"h+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Clearly a negative value makes no sense in the problem, so the height is h=4.<br><BR>\n" );
document.write( "ANSWER: The height is 4 meters.<br><BR>\n" );
document.write( "CHECK: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%288%2B4%29%29%2F2+=+48%2F2+=+24 ALIGN=MIDDLE  ALT=\"%284%288%2B4%29%29%2F2+=+48%2F2+=+24\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );