Calculate the perimeter of the trapezium PQRS
Attached Figure / Diagram
A
24cm
B
36cm
C
48cm
D
72cm
E
520cm
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
Using Pythagora's rule for △PSM
Hyp\(^2\) = Opp\(^2\) + Adj\(^2\)
5\(^2\) = Opp\(^2\) + 4\(^2\)
→ Opp\(^2\) = 25 - 16
→ Opp = \sqrt9 = 3
base SR = 18 + 3 = 21
base PQ = 18
side PS = 5
side QR = 4
perimeter of the trapezium PQRS = 21 + 18 + 5 + 4 = 48cm
Source: WAEC / JAMB / NECO Classroom Archive (Record #26360)