(a) ABCD is a trapezium in which AB // DC, |AB| = 8cm, < ABC = 60°, |BC| = 5.5cm and |BD| = 8.3cm. Using a ruler and a pair of compasses only, construct:

(i) the trapezium ABCD ; (ii) a rectangle PQCD, where P, Q are two points AB;

(b) Measure |AB| and |QB|.