What is the area of the composite figure? A (8π + 6) in.2 B (8π + 12) in.2 C (8π + 18) in.2 D (8π + 24) in.2

Answer:B. (8π + 12) in²Step-by-step explanation:1. Identify the formula for the area of both a triangle and a circle.     Triangle: 1/2(b)(h)        b = base        h = height     Circle: πr²       r = radius2. Start by finding the area of the circle, since we already have all the needed information for the variables in the equation.      π(4)² → π(16) → 16π3. Half the answer we just got as the area of the circle. We are doing this because we only have half a circle in the diagram, and we solved for the area of a full circle.     (16π)/2 → 8π4. Next find the base of the triangle, since this is the only information we do not yet have for the triangle. We will find this by doubling the 4, since 4 inches is only half the length of the base.     4 × 2 = 85. Plug all the information of the triangle into the area of a triangle formula and solve.     1/2(8)(3) → 1/2(24) → 126. Add both the area of the semi-circle and triangle together because they are one shape that we are finding the area for.      8π + 12  7. Label answer with units of measurement     (8π + 12) in²