**The correct option is (C) 52.**

**From mid-point theorem it is given that,**

Area(PKAN) = 25 = x + z ----- (1)

Area(PLBK) = 36 = x + y ----- (2)

Area(PMDN) = 41 = w + z ----- (3)

Area(PLCM) = y + w

**Now, adding (2) and (3) we get,**

⇒ x + y + w + z = 36 + 41

⇒ x + y + w + z = 77 ----- (4)

**Subtracting (1) from (4) we get,**

⇒ x + y + w + z − x − z = 77 − 25

⇒ y + w = 52

∴ Area of PLCM = 52