Given:
The composite figure consists of a rectangle and a semi-circle
The area of the figure = area of the rectangle - area of the semi-circle
The area of the rectangle:
Length = 9 cm
Width = 3 cm
Area = length x width = 9 x 3 = 27 cm²
Area of the semi-circle:
Radius = 3/2 cm
Area =
[tex]\frac{1}{2}\cdot\pi\cdot r^2=\frac{1}{2}\cdot3.14\cdot(\frac{3}{2})^2=3.5325\operatorname{cm}^2[/tex]
So, the area of the figure =
[tex]27-3.5325=23.4675[/tex]
Rounding to the nearest half unit
So, the answer will be the area = 23.5 cm²
