In the figure shown, the length of line segment QS is \(4\sqrt{3}.\) What is the perimeter of equilateral triangle PQR?

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Source: GMAT Prep
Triangle.png
In the figure shown, the length of line segment QS is \(4\sqrt{3}.\) What is the perimeter of equilateral triangle PQR?

A. \(12\)
B. \(12\sqrt{3}\)
C. \(24\)
D. \(24\sqrt{3}\)
E. \(48\)

The OA is C
Source: — Problem Solving |