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2000 AMC 8 Problems/Problem 25

Revision as of 19:58, 28 July 2011 by Mrdavid445 (talk | contribs) (Created page with "The area of rectangle <math>ABCD</math> is <math>72</math>. If point <math>A</math> and the midpoints of <math> \overline{BC} </math> and <math> \overline{CD} </math> are joined ...")
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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]

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

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