We can break this irregular figure into a triangle and rectangle. The area of the figure will be the sum of the areas of triangle and rectangle.
The rectangle has a length of 8 units and a width of 4 units.
We need to find the base and height of the triangle.
Since both sides of the rectangle are 4, the vertical side of the triangle is 3, which is 7−4.
The length of the rectangle is 8, so the base of the triangle will be 3, which is 8−5.

Now we can add the areas to find the area of the irregular figure.

The area of the figure is 36.5 square units.