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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
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Correct Answer: Option B
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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WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts