In the diagram, ∠ZWZY and WYX are right angles. Find the perimeter of WXYZ.
Attached Figure / Diagram
A
30cm
B
32cm
C
35cm
D
37cm
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
In ΔWYZ:
hyp\(^2\) = adj\(^2\) + opp\(^2\)
hyp\(^2\) =3\(^2\) + 4\(^2\) → 9 + 16
hyp\(^2\) = 25
hyp = 5
In ΔWXY:
hyp\(^2\) = adj\(^2\) + opp\(^2\)
hyp\(^2\) = 12\(^2\) + 5\(^2\) = 144 +25
hyp\(^2\) = 169
hyp = 13
the perimeter of WXYZ. = 3+4+12+13 → 32cm
Source: WAEC / JAMB / NECO Classroom Archive (Record #64828)