To find the area of the polygon outlined in the image, we first need to find the area of the individual shapes that make up the polygon (in this case, a triangle and a rectangle).
The triangular part of the arrowhead has a perpendicular height of 6 and a base length of 8 (4 on each side of the rectangular part).
Area of triangle = 0.5 x base x height
Area of triangle = 0.5 x 8 x 6
Area of triangle = 24 square units
The rectangular part has sides of 4 and 6.
Area of rectangle = width x height
Area of rectangle = 4 x 6
Area of rectangle = 24 square units
Now, to find the total area of the polygon, we add the areas of the triangle and rectangle together:
Total area = 24 (triangle) + 24 (rectangle)
Total area = 48 square units
Therefore, the area of the polygon outlined in the image is 48 square units.