Use the image to answer the question. 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 36 square units 36 square units 42 square units 42 square units 54 square units 54 square units 72 square units
To find the area of the polygon, we can split it into smaller rectangles and triangles.
The polygon can be split into a larger rectangle and two triangles. The larger rectangle has a length of 6 units and a width of 12 units, so its area is 6 * 12 = 72 square units.
One of the triangles has a base of 3 units and a height of 6 units, so its area is (1/2) * 3 * 6 = 9 square units. The other triangle has a base of 6 units and a height of 3 units, so its area is also 9 square units.
Adding the areas of the rectangle and the two triangles together, we get 72 + 9 + 9 = 90 square units.
Therefore, the area of the polygon is 90 square units. None of the provided answer choices match this result.