In triangle \(ABC,\) point \(X\) is the midpoint of side \(AC\) and point \(Y\) is the midpoint of side \(BC.\) If point

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In triangle \(ABC,\) point \(X\) is the midpoint of side \(AC\) and point \(Y\) is the midpoint of side \(BC.\) If point \(R\) is the midpoint of line segment \(XC\) and if point \(S\) is the midpoint of line segment \(YC,\) what is the area of triangular region \(RCS?\)

(1) The area of triangular region \(ABX\) is \(32.\)
(2) The length of one of the altitudes of triangle \(ABC\) is \(8.\)

Answer: A

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