Answer:
29.92 m² (nearest hundredth)
Step-by-step explanation:
[tex]\textsf{Area of a sector}=\dfrac{\theta}{360\textdegree}\pi r^2[/tex]
[tex]\implies \textsf{area}=\dfrac{30}{360\textdegree}\pi \cdot 5.5^2=\dfrac{121}{48}\pi \textsf{ m}^2[/tex]
Area of rectangle = width × length
⇒ area = 4 × 5.5 = 22 m²
Total area = area of sector + area of rectangle
⇒ total area = [tex]\dfrac{121}{48}\pi +22[/tex] = 29.91943148... = 29.92 m² (nearest hundredth)
