In the diagram, ∠ZWZY and WYX are right angles. Find the perimeter of WXYZ.

  • A 30cm
  • B 32cm
  • C 35cm
  • D 37cm
waec 2022mathematics

The correct answer is B. 32cm

In ΔWYZ: 

hyp\(^2\) = adj\(^2\) + opp\(^2\)

hyp\(^2\) =3\(^2\) + 4\(^2\) â†’ 9 + 16

hyp\(^2\) = 25

hyp = 5

In  Î”WXY:

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 â†’ 32cm

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