What is the area of the polygon? Assume that segments that appear congruent are congruent and angles that appear to be right angles are right angles.
(1 point)
Responses
54 square units
54 square units
72 square units
72 square units
42 square units
42 square units
36 square units
To find the area of the polygon, we need to divide it into smaller shapes to calculate the total area.
The polygon can be divided into a rectangle with dimensions 6 units by 12 units, and a right triangle with base 6 units and height 3 units.
Area of rectangle = 6 * 12 = 72 square units
Area of triangle = (1/2) * base * height = (1/2) * 6 * 3 = 9 square units
Therefore, the total area of the polygon is 72 + 9 = 81 square units.
None of the options provided match this answer, so the closest option is 72 square units.