Find the area of the polygon. Assume that segments that appear congruent are congruent and angles that appear to be right angles are right angles.
To find the area of the polygon, we can divide it into smaller shapes and then find the area of each shape.
The polygon can be divided into two triangles and a rectangle.
Triangle 1:
Base = 5 units
Height = 4 units
Area = 1/2 * base * height = 1/2 * 5 * 4 = 10 square units
Triangle 2:
Base = 3 units
Height = 4 units
Area = 1/2 * base * height = 1/2 * 3 * 4 = 6 square units
Rectangle:
Length = 3 units
Width = 5 units
Area = length * width = 3 * 5 = 15 square units
Total area of the polygon = Area of Triangle 1 + Area of Triangle 2 + Area of Rectangle
= 10 + 6 + 15
= 31 square units
Therefore, the area of the polygon is 31 square units.