66.5 square centimeters.
Start by separating the figure into a triangle and a rectangle.
We know the base of the triangle is 7 cm, so find the height by subtracting the total height of the figure by the height of the rectangle. 11 cm - 8 cm = 3 cm
Now, find the area of each shape. The area of a rectangle is length (base) times width (height). This is 7 cm * 8 cm, or 56 cm^2.
Then, find the area of the triangle. The area of a triangle is base times height times 1/2. So, it is 7 cm * 3 cm * 1/2.
21 cm^2 * 1/2
10.5 cm^2
Finally, add the areas together. 56 cm^2 + 10.5 cm^2 = 66.5 cm^2