In the diagram, ∠ZWZY and WYX are right angles. Find the perimeter of WXYZ....
MATHEMATICS
WAEC 2022
In the diagram, ∠ZWZY and WYX are right angles. Find the perimeter of WXYZ.
- A. 30cm
- B. 32cm
- C. 35cm
- D. 37cm
Correct Answer: B. 32cm
Explanation
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
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