2000 AMC 8 Problems/Problem 25
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The area of rectangle 
is 
. If point 
and the midpoints of 
and 
are joined to form a triangle, the area of that triangle is
![[asy] pair A,B,C,D; A = (0,8); B = (9,8); C = (9,0); D = (0,0); draw(A--B--C--D--A--(9,4)--(4.5,0)--cycle); label("$A$",A,NW); label("$B$",B,NE); label("$C$",C,SE); label("$D$",D,SW);[/asy]](http://latex.artofproblemsolving.com/a/e/2/ae2ad9d6b6a31a8972be6fd88ebf1263dcdbf75f.png)
