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WAEC Mathematics 2022 Paper

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Question : 24

Total: 47

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

30cm
32cm
35cm
37cm

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

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