Answer:
To calculate the total area of the figure, we can break it down into smaller components and then sum them up.
From the given information, we can determine that the figure is a trapezoid. We have the lengths of both bases (the parallel sides) and the height of the trapezoid.
The formula to calculate the area of a trapezoid is:
Area = (1/2) * (b1 + b2) * h
In this case, the shorter base (b1) is 16 feet, and the height (h) is 22 feet. The longer base (b2) can be determined by subtracting the portion from the vertex to the perpendicular height (6 feet) from the length of the shorter base (16 feet):
b2 = b1 - (vertex portion)
b2 = 16 - 6
b2 = 10 feet
Now we can calculate the area:
Area = (1/2) * (b1 + b2) * h
Area = (1/2) * (16 + 10) * 22
Area = (1/2) * 26 * 22
Area = 286 square feet
Therefore, the total area of the figure is 286 ft². None of the provided options (968 ft², 616 ft², 484 ft², 352 ft²) match this result.