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WAEC Mathematics 2022 Objective — Question 25

Question 25 of 50 from the West African Examinations Council (WAEC) Mathematics 2022 Objective paper, with the correct answer and a full explanation.

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

Diagram for question 25
  • A. 30 cm
  • B. 32 cmCorrect
  • C. 35 cm
  • D. 37 cm

Explanation

Using Pythagoras: |WY|²=4²+3²=25, so |WY|=5cm. |WX|²=5²+12²=169, so |WX|=13cm. Perimeter = 4+13+12+3 = 32cm.

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