Final answer:
To find the perimeter of the figure, calculate the perimeters of the rectangle and triangle separately and then add them together. The correct answer is A) 27.1 ft.
Step-by-step explanation:
To calculate the perimeter of the figure, we need to find the sum of all the sides.
The rectangle has sides of length 10 ft and 8 ft, and the triangle has sides of length 8.9 ft and 4 ft.
The perimeter of the rectangle is found by adding twice the length and width together (2(10 ft + 8 ft) = 2(18 ft) = 36 ft).
The perimeter of the triangle is found by adding the lengths of all three sides together (8.9 ft + 4 ft + 8.9 ft = 21.8 ft).
Finally, we add the perimeters of the rectangle and triangle to get the total perimeter of the figure (36 ft + 21.8 ft = 57.8 ft). Rounding to the nearest tenth, the perimeter is approximately 57.8 ft.
Therefore, the correct answer is A) 27.1 ft.