Problem

2000 AMC 8 Problem 25

The area of rectangle ABCD is 72. If point A and the midpoints of \overline{BC} and \overline{CD} 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]

\text{(A)}\ 21 \qquad \text{(B)}\ 27 \qquad \text{(C)}\ 30 \qquad \text{(D)}\ 36 \qquad \text{(E)}\ 40


Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.


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