Do not use a calculator in this question.

The diagram shows the trapezium \(ABCD\) in which angle \(ADC\) is \(90^\circ\) and \(AB\) is parallel to \(DC\). It is given that

\(AB=4+3\sqrt5,\qquad DC=11+2\sqrt5,\qquad AD=7+\sqrt5.\)

(i) Find the perimeter of the trapezium, giving your answer in simplest surd form.

(ii) Find the area of the trapezium, giving your answer in simplest surd form.