Answer:
38 ft²
Step-by-step explanation:
This hole can be split into 3 figures, a rectangle and 2 triangles. The dimensions of the rectangle are 8 by 3, making the area 8(3) = 24 ft².
The triangle to the left of the rectangle has a height of 3 and a base of 4 (because the entire width is 12 and the rectangle portion is 8). The formula for the area of a triangle is
A = 1/2bh, making ours
A = 1/2(4)(3) = 1/2(12) = 6 ft²
The triangle on the bottom has a height of 4 and a base of 4 (same base as the triangle it is below). This makes the area
A = 1/2(4)(4) = 1/2(16) = 8 ft²
This makes the total area
24+6+8 = 38 ft²
