JAMB Mathematics 2008 Objective — Question 29

Question 29 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2008 Objective paper, with the correct answer and a full explanation.

Find the area of the figure above (a rectangle 5cm wide with a rounded top, 15cm total height)

• A. 12.5cm^2
• B. 75.0cm^2
• C. 78.5cm^2
• D. 84.4cm^2Correct

Explanation

Total area of the figure = Area of the semi-circle + Area of the rectangle = (pi r^2)/2 + LB = [(22/7)x2.5^2]/2 + (15x5) = 9.82 + 75 = 84.82cm^2, approximately 84.4cm^2.

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