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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)

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step-by-step explanation:

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