Answer:
The answer is B, 396 square units.
Step-by-step explanation:
We can separate the figure into five individual polygons and sum up their areas to find the total surface area of the figure.
The base of the figure is 8*12 = 96.
The rectangle at the back of the figure is 8*9 = 72.
To find the area of the rectangle on top, we need to first find second side length. To do this, we use the pythagorean theorem (a^2 + b^2 = c^2) on the right triangle, so 9^2 + 12^2 = c^2 --> 225 = c^2 --> c = 15. Next, we find the area of the rectangle which is 8*15 = 120.
The area of the triangle to the side is 1/2*12*9 (9 is height because it's a right triangle) = 54, so the area of both triangles is 54*2 = 108.
Now we sum up the areas: 96 + 72 + 120 + 108 = 396
