+1223 The sides of a 30-60-90 triangle is in the ratio \(1: \sqrt{3} : 2\).
The hypotenuse is 11, so the sides are of lengths \(\frac{11}{2} \) and \(\frac{11\sqrt{3}}{2}\).
The perimeter is \(\frac{11}{2} + \frac{11\sqrt{3}}{2} + 11 \approx \boxed{26.02}\)
