Answer:
343 ft^2 (Closest to Answer D)
Step-by-step explanation:
The triangle on the left has height 24 ft and base 18 ft, and therefore, by the area-of-a-triangle formula A = (1/2)(b)(h), the area of the triangle is
A = (1/2)(24 ft)(18 ft) = 216 ft^2.
The semicircle on the right has radius (18 ft)/2, or 9 ft. Using the area-of-a-semicircle formula A =(pi)(r)^2/2, we find this particular semicircle to have area
A = (pi)(9)^2/2, or approximately 127 ft^2
Adding these two subareas together results in total area
A = (216 ft^2) + (127 ft^2) = 343 ft^2 (Answer D)
