Answer:
Area = 74.1 square units
Step-by-step explanation:
Area of the composite figure = Area of the rectangle + Area of the semicircle
Area o the rectangle = Length × Width
= 10 × 6
= 60 square units
Area of the semicircle = [tex]\frac{1}{2}\pi r^{2}[/tex]
Here, r = radius of the semicircle
For the semicircle with radius = [tex]\frac{6}{2}[/tex] = 3 units
Area = [tex]\frac{1}{2}\pi (3)^{2}[/tex]
= 4.5π
= 14.14 units²
Total area of the composite figure = 60 + 14.14
= 74.14 square units ≈ 74.1 square units