Answer: 38 sqft.
Explanation:
Let's split it into 3 shapes: 2 triangles (top and bottom) and a rectangle.
The top triangle has a base of 4 ft (12 ft - 8 ft) and a height of 3 ft. We use the formula for a triangle area (1/2 * b * h) and find that the area of the top triangle is 6 ft^2.
The bottom triangle also has a base of 4 ft and a height of 4 ft. We use the area formula of a triangle and find that the area of the bottom triangle is 8 ft^2.
The rectangle has a height of 3 ft and a width of 8 ft. The formula for the area of a rectangle is h * w, so we find that the area of the rectangle is 24 ft^2.
We add all 3 of these areas together and find that we need 38 sqft of carpet.