Find the area of the figure above 22 7 - JAMB Mathematics 2008 Question
[π = 22/7]
A
12.5 cm2
B
75.0 cm2
C
78.5 cm2
D
84.8 cm2
correct option: d
Area of the figure = Area of rect + area of semi circle
\(=L \times h + \frac{1}{2}\pi r^2\\ 5 \times 15 + \frac{1}{2} \times \frac{22}{7} \times \left(\frac{5}{2}\right)^2\\ =75+\frac{(22\times 25)}{2\times7}\\ =75 + 9\frac{23}{28}\\ =84.8cm\)
\(=L \times h + \frac{1}{2}\pi r^2\\ 5 \times 15 + \frac{1}{2} \times \frac{22}{7} \times \left(\frac{5}{2}\right)^2\\ =75+\frac{(22\times 25)}{2\times7}\\ =75 + 9\frac{23}{28}\\ =84.8cm\)
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