Find the area of the polygon. Assume that segments that appear congruent are congruent and angles that appear to be right are right angles.
To find the area of the polygon, we need to break it down into smaller shapes whose areas we can easily calculate.
The given polygon can be divided into two shapes - a rectangle and a triangle.
First, let's find the area of the rectangle. The length of the rectangle is 6 units and the width is 4 units. The formula for the area of a rectangle is length x width. So, the area of the rectangle is:
Area = 6 units x 4 units = 24 square units
Next, let's find the area of the triangle. The base of the triangle is 2 units and the height is 4 units. The formula for the area of a triangle is 1/2 x base x height. So, the area of the triangle is:
Area = 1/2 x 2 units x 4 units = 4 square units
Now, we can find the total area of the polygon by adding the areas of the rectangle and the triangle together:
Total Area = Area of rectangle + Area of triangle
Total Area = 24 square units + 4 square units
Total Area = 28 square units
Therefore, the area of the given polygon is 28 square units.