JAMB Mathematics 2006 Question 27

Question 27

Mensuration of Plane Shapes

In the diagram above, |QR| is the diameter of the semicircle QR. Find the area of the figure to the nearest whole number. [π = 22/7]

Diagram for this question
  1. A.89cm2
  2. B.70cm2
  3. C.90cm2
  4. D.80cm2
Show the answer and explanation

Answer: A (89cm2)

Explanation

Rectangle = 10 × 7 = 70cm2. Semicircle with radius 3.5cm = ½ × 22/7 × 3.52 = 19.25cm2. Total ≈ 89cm2.