(i)U can use mid point theorem to prove that c is the mid point of AQ.
OR
U can use AA criteria to prove that triangle ABC is similar to triangle APQ and then using BPT u can prove C is the midpoint of AQ
(ii)In quadrilateral BCPQ, BC=5cm, PQ=10 cm, CQ=10 cm, CB =5cm
Perimeter= Sum of all sides=30 cm