Answer :
The area of the figure is 33.28 m².
Solution:
The given figure is splitted into three shapes.
One is rectangle, the second is semi-circle and the third one is triangle.
To find the area of the figure:
Area of the rectangle = length × width
= 6 m × 4 m
Area of the rectangle = 24 m²
Diameter of the semicircle = 4 m
Radius of the semicircle = 2 m
Area of the semi-circle = [tex]\frac{1}{2} \pi r^2[/tex]
[tex]$=\frac{1}{2} \times 3.14 \times 2^2[/tex]
Area of the semi-circle = 6.28 m²
Base of the triangle = 7 m – 4 m = 3 m
Height of the triangle = 2 m
Area of the triangle = [tex]\frac{1}{2} \ bh[/tex]
[tex]$=\frac{1}{2}\times 3\times 2[/tex]
Area of the triangle = 3 m²
Area of the figure = 24 m² + 6.28 m² + 3 m²
= 33.28 m²
Hence the area of the figure is 33.28 m².