document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=627536>Question 627536</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the figure shows ABCD as a trapezium in which AB=(5x+6) cm, DC= 3x cm and the height between the parallel line is (4x-3) cm. Show that the area of the trapezium can be expressed as (16x^2 - 9) cm2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #676115 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52855)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=676115\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "the figure shows ABCD as a trapezium in which AB=(5x+6) cm, DC= 3x cm and the height between the parallel line is (4x-3) cm. <BR>\n" );
document.write( "Show that the area of the trapezium can be expressed as (16x^2 - 9) cm2 <BR>\n" );
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document.write( "The area of a trapezoid (of any trapezoid) is the product of the half sum of the base lengths by the altitude.\r\n" );
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document.write( "In your case the half sum of the base lengths is \r\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2A%28abs%28AB%29%2Babs%28DC%29%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29%2A%28abs%28AB%29%2Babs%28DC%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2A%28%285x%2B6%29+%2B3x%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29%2A%28%285x%2B6%29+%2B3x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2A%288x%2B6%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29%2A%288x%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B3 ALIGN=MIDDLE  ALT=\"4x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r\n" );
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document.write( "Therefore, the area of your trapezoid is\r\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%2B3%29%2A%284x-3%29 ALIGN=MIDDLE  ALT=\"%284x%2B3%29%2A%284x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16x%5E2-9 ALIGN=MIDDLE  ALT=\"16x%5E2-9\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r\n" );
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document.write( "It is what has to be proved.\r\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( "Now I want to send a message to the person under the nickname \"math175\":\r<BR>\n" );
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document.write( "<BLOCKQUOTE><TABLE  BORDER=2>\n" );
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document.write( "<BLOCKQUOTE> &nbsp;&nbsp;&nbsp;&nbsp;WE DO NOT NEED  \"tutors\" WITH SUCH SKILLS AT THIS SITE.&nbsp;&nbsp;&nbsp;&nbsp; </BLOCKQUOTE><BR>\n" );
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document.write( "</TABLE></BLOCKQUOTE>\r<BR>\n" );
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