Find the Area of the composite figure. the figure is a rectangle with a piece missing. and the feet are 9 ft. 2 ft. 5 ft. 4 ft. 4 ft. 6 ft.
16 square feet
108 square feet
18 square feet
34 square feet
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.
but the choices are 16 square ft
108 square ft
18 square ft or 34 square ft
Apologies for the error in my previous response. Let's calculate again.
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. None of the given choices (16 square ft, 108 square ft, 18 square ft, or 34 square ft) is correct.