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WAEC Mathematics 2013 Question 15

Question 15

Mensuration of Plane Shapes

In the diagram, PRST is a square. If |PQ| = 24cm, |QR| = 10cm and ∠PQR = 90°; find the perimeter of the polygon PQRST.

Diagram for this question
  1. A.112cm
  2. B.98cm
  3. C.86cm
  4. D.84cm
Show the answer and explanation

Answer: A (112cm)

Explanation

|PR| = √(242 + 102) = 26 cm, the side of the square. Perimeter = 24 + 10 + 3 × 26 = 112 cm.