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Find the area of the figure given - JAMB Mathematics 2008 Question

Find the area of the figure given
A
12.5cm2
B
75.0cm2
C
78.5cm2
D
84.8cm2
correct option: d

Area of semicircle + Area of rectangle

A = (\frac{1}{2} \pi r^2) + LB

A = (\frac{1}{2} \times \frac{22}{77} \times (\frac{5}{2})^2 + (15 \times 5))

= (\frac{1}{2}\times \frac{22}{7} \times \frac{25}{4} + 75)

A = (\frac{275}{28} + \frac{75}{1})

(\frac{275 + 2100}{28} = \frac{2375}{28})

A = 84.8cm2

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