document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1210498>Question 1210498</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Quadrilateral $ABCD$ is a parallelogram.  Let $E$ be a point on $\overline{AB},$ and let $F$ be the intersection of lines $DE$ and $BC.$  The area of triangle $EBC$ is $4,$ and the area of triangle $ABC$ is $4.$  Find the area of parallelogram $ABCD$. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #852998 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53299)</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=852998\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Quadrilateral ABCD is a parallelogram. Let E be a point on AB, and let  F be the intersection of lines <BR>\n" );
document.write( "DE and BC. The area of triangle EBC is 4, and the area of triangle ABC is 4. <BR>\n" );
document.write( "Find the area of parallelogram ABCD.<BR>\n" );
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document.write( "The post is SELF-CONTRADICTORY and describes a situation which NEVER may happen.\r<BR>\n" );
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document.write( "Indeed, triangle ABC has the base AB and the height 'h', which is the height of the parallelogram<BR>\n" );
document.write( "drawn to base AB.\r<BR>\n" );
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document.write( "Triangle EBC has the base EB and the same height 'h', but EB is part of BC, shorter than BC itself.\r<BR>\n" );
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document.write( "But under this condition, the areas of triangles ABC and EBC can not be equal.\r<BR>\n" );
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document.write( "This is a contradiction, which kills the problem to the death and ruins it into dust.\r<BR>\n" );
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