\( A B C D \) is a parallelogram. \( X \) and \( Y \) are the mid-points of \( B C \) and \( C D...

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\( A B C D \) is a parallelogram. \( X \) and \( Y \) are the mid-points of \( B C \) and \( C D \), respectively. Prove that
\[
\operatorname{ar}(\triangle A X Y)=\frac{3}{8} \operatorname{ar}(\| \operatorname{gm} A B C D) \text {. }
\]
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