Answer:
Area of the composite figure[tex] \approx 29.92 \: {m}^{2} [/tex]
Step-by-step explanation:
1. Area of the composite figure = Area of rectangle + Area of the sector with radius 5.5 m and central angle 30°
[tex] = 5.5 \times 4 + \frac{30 \degree}{360 \degree} \times 3.14 \times (5.5) ^2 \\ \\ = 22 + \frac{1}{12} \times 94.985 \\ \\ = 22 + 7.91541667 \\ \\ = 29.9154167 \: {m}^{2} \\ \\ \approx 29. 92\: {m}^{2} [/tex]
