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WAEC Mathematics 2008 Question 38

Question 38

Mensuration of Plane Shapes

If the perimeter of ΔPQR in the diagram is 24 cm, what is the area of ΔPRS?

Diagram for this question
  1. A.19.5 cm2
  2. B.15.0 cm2
  3. C.13.0 cm2
  4. D.9.3 cm2
Show the answer and explanation

Answer: B (15.0 cm2)

Explanation

|PR| = 24 − 6 − 8 = 10 cm. The height from S to PR is 3 cm, so area of ΔPRS = ½ × 10 × 3 = 15 cm2.