Let \( R \) be the point \( (3,7) \) and let \( P \) and \( Q \) be two points on the line \( x+...

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Let \( R \) be the point \( (3,7) \) and let \( P \) and \( Q \) be two points on the line \( x+y=5 \) such that \( P Q R \) is an equilateral triangle. Then the area of \( \triangle P Q R \) is:
(a) \( \frac{25}{4 \sqrt{3}} \)
(b) \( \frac{25 \sqrt{3}}{2} \)
(c) \( \frac{25}{\sqrt{3}} \)
(d) \( \frac{25}{2 \sqrt{3}} \)
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