∠Q = ∠R = θ = 90° …[Angles of a rectangle]
For the sector (Q – PA),
PQ = QA …[Radii of the same circle]
∴ QA = 14 cm
Now, QR = QA + AR … [Q – A – R]
∴ 21 = 14 + AR
∴ AR = 7 cm
Area of rectangle = length × breadth
area of PQRS = PQ × QR
= 14 × 21
= 294 cm2
Area of part z = area of PQRS
– area of part x – area of part y
= 294 – 154 – 38.5
= 101.5 cm2
∴ The area of part x is 154 cm2, the area of part y is 38.5 cm2 and the area of part z is 101.5 cm2.