A circle passing through the vertex \( C \) of a rectangle \( A B C D \) and touching its sides ....

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A circle passing through the vertex \( C \) of a rectangle
\( \mathrm{P} \)
\( A B C D \) and touching its sides \( A B \) and \( A D \) at \( M \) and \( N \) respectively. If the distance from \( C \) to the line segment \( M N \) is equal to 8 units, then the area of the rectangle \( A B C D \) is
(1) 16
(2) 64
(3) 32
(4) 24


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