Answer: the area of the figure is 358.5 square feet.
Step-by-step explanation: To find the area of the figure, we need to split it into smaller, simpler shapes.
We can split the figure into two rectangles, a right triangle, and a trapezoid as shown below:
lua
Copy code
S
G
9 feet
+----------+
| |
| | W
| |
| |
| +------+------+
| | |
| | | 21 feet
| | |
| +------+------+
| | V
| |
| |
+----------+
12 feet
The area of the figure is the sum of the areas of the smaller shapes.
Area of the rectangle on the left: 12 feet x 9 feet = 108 square feet
Area of the rectangle on the right: 8 feet x 21 feet = 168 square feet
Area of the right triangle: (1/2) x 9 feet x 5 feet = 22.5 square feet
Area of the trapezoid: (1/2) x (9 feet + 12 feet) x 5 feet = 60 square feet
Total area = 108 square feet + 168 square feet + 22.5 square feet + 60 square feet = 358.5 square feet
Therefore, the area of the figure is 358.5 square feet.