If ΔABC and ΔPQR are similar and \( \frac{BC}{QR} \) = \( \frac{1}{3} \), find \(\frac{\text{ar}(\triangle PQR)}{\text{ar}(\triangle BCA)}\)
The length of each side of an equilateral triangle is 2\(\sqrt[4]{3}\) cm. What is the area of this triangle?