The figure presented can be divided into 3 smaller shapes to help us calculating the area. Those shapes are
The red and green areas are rectangles, and the blue area is a trapezoid. The area of a rectangle is given by the product between its distinct sides. The green area is
[tex]36\times8=288[/tex]
The red area is
[tex]4\times8=32[/tex]
The area of a trapezoid is given by the sum of its distinct basis values, multiplied by the height, and then divided by 2. The smaller base of this trapezoid measures 2 yd, the height is 8 yd, and the bigger base measures 8 yd. The area of the trapezoid is
[tex]\frac{(2+8)\times8}{2}=\frac{10\times8}{2}=\frac{80}{2}=40[/tex]
Now, the total area of the figure is the sum of those areas.
[tex]288+32+40=360[/tex]
The area of this figure is 360 yd².
