To find the area of the composite figure, we need to find the areas of each individual shape and subtract the area of the missing piece.
The rectangle has dimensions of 9 ft by 2 ft, so its area is 9 ft * 2 ft = 18 square feet.
The missing piece is a rectangle with dimensions of 4 ft by 5 ft, so its area is 4 ft * 5 ft = 20 square feet.
The remaining shapes are two rectangles with dimensions of 4 ft by 6 ft, so each rectangle has an area of 4 ft * 6 ft = 24 square feet.
To find the total area of the composite figure, we subtract the area of the missing piece from the total area of the rectangle and the remaining shapes:
Total area = 18 square feet + 2*(24 square feet) - 20 square feet = 18 square feet + 48 square feet - 20 square feet = 46 square feet.
Therefore, the area of the composite figure is 46 square feet.