Find the area of the figure above
[\pi = 22/7]
Attached Figure / Diagram
A
12.5 cm2
B
75.0 cm2
C
78.5 cm2
D
84.8 cm2
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
Area of the figure = Area of the rectangle + area of the semicircle
\(=L \times h + \frac{1}{2}\pi r^2\)
5 \(\times 15 + \frac{1}{2} \times \frac{22}{7} \times \left(\frac{5}{2}\right)^2\)
=75+\(\frac{(22\times 25)}{8\times7}\)
=75 + \(\frac{550}{56}\)
=84.8cm\(^2\)
Source: Myschool Past Questions Archive (Record #9281)