Answer:
B. 24.28 square feet
Explanation:
You want the area of a figure composed of a rectangle, triangle, and semicircle.
Area formulas
The formulas for the areas of the parts of the figure are ...
A = LW . . . . rectangle of length L and width W
A = 1/2bh . . . . triangle with base b and height h
A = π/2r² . . . . . . semicircle of radius r
Rectangle
The area of the rectangle is ...
A = (4 ft)(3 ft) = 12 ft²
Triangle
The area of the triangle is ...
A = 1/2(4 ft)(3 ft) = 6 ft²
Semicircle
The semicircle has a radius that is half the diameter. The diameter is shown as 4 ft so the radius is 2 ft. The area of the semicircle is ...
A = π/2(2 ft)² = 4(3.14)/2 ft² = 6.28 ft²
Composite figure area
The area of the composite figure is the sum of the areas of its parts:
Area = 12 ft² +6 ft² +6.28 ft² = 24.28 ft²
The area of the composite figure is about 24.28 ft².