GCE Mathematics 2022 Objective — Question 25

Question 25 of 50 from the General Certificate of Education (GCE) Mathematics 2022 Objective paper, with the correct answer and a full explanation.

In the diagram, angle WZY and angle WYX are right angles. WZ=4cm, ZY=3cm, YX=12cm. Find the perimeter of WXYZ.

• A. 30cm
• B. 32cmCorrect
• C. 35cm
• D. 37cm

Explanation

In triangle WZY: |WY|^2 = 4^2+3^2 = 25, so |WY|=5cm. In triangle WXY: |WX|^2 = 12^2+5^2 = 169, so |WX|=13cm. Perimeter = WZ+ZY+YX+XW = 4+3+12+13 = 32cm.

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