Answer:49.12 square feet.Step-by-step explanation:See the diagram given with this question.
There is a right triangle and a semi-circle in the given figure.
Now, the base of the triangle is 6 feet and its height is 8 feet.
So, area of the triangle is [tex]\frac{1}{2} \times6 \times 8[/tex] = 24 square feet
Again diameter of the semi-circle is 8 feet i.e. radius is 4 feet.
Hence, area of the semi circle is [tex]\frac{1}{2} \pi r^{2}[/tex]
= [tex]\frac{1}{2} \times 3.14 \times 4^{2} =25.12[/tex] square feet.
Therefore, the total area of the given figure is (24 + 25.12) = 49.12 square feet. (Answer)