To find the area of the polygon, we first need to find the area of the triangle and the rectangle separately, and then add them together.
Area of the triangle = (1/2)base * height
Area of the triangle = (1/2)(4+4)*6
Area of the triangle = (1/2)(8)*6
Area of the triangle = 24 square units
Area of the rectangle = length * width
Area of the rectangle = 4 * 6
Area of the rectangle = 24 square units
Total area of the polygon = Area of triangle + Area of rectangle
Total area of the polygon = 24 + 24
Total area of the polygon = 48 square units
Therefore, the area of the polygon is 48 square units.