Answer:
B
Step-by-step explanation:
The composite figure consists of a triangle and a semicircle.
The area (A) of the triangle is calculated as
A = 0. 5 bh ( b is the base and h the perpendicular height )
here b = 2 × 4 = 8 and h = 3, thus
A = 0.5 × 8 × 3 = 12 in²
The area (A) of the semicircle is calculated as
A = 0.5πr² ← r is the radius = 4, thus
A = 0.5π ×4² = 0.5 = 0.5π × 16 = 8π
Sum the 2 areas together for area of composite shape, that is
area of composite shape = ( 8π + 12 ) in² → B
