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

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

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

A.

30cm

B.

32cm

C.

35cm

D.

37cm

View answer & explanation

Correct answer is B

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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