Answer:
The area of the figure is 49.12ft² (nearest hundredth)
Explanation:
The area of the figure is the sum of the areas of the right triangle and semi circle that make up the figure.
Note that the radius of a circle is twice its diameter
That means, the radius of the semi-circle is 4 feet
Area of the triangle = 1/2 x Base X Height = 1/2 x 6 ft x 8 ft =24 ft²
Area of the semi circle = 1/2 πr² = 1/2 x 3.14 x 4² = 25.12 ft²
Hence, the area of the figure is:
24 ft² + 25.12 ft² = 49.12 ft²