Use the image to answer the question. 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. (1 point) Responses 50.5 square units 50.5 square units 61.5 square units 61.5 square units 61 square units 61 square units 62.5 square units
The area of the polygon can be calculated by dividing it into two rectangles and a right-angled triangle.
The area of the rectangle on the left is 9 units x 5 units = 45 square units.
The area of the rectangle on the right is 3 units x 4 units = 12 square units.
The area of the right-angled triangle is (5 units x 6 units) / 2 = 15 square units.
Therefore, the total area of the polygon is 45 square units + 12 square units + 15 square units = 72 square units.
So, none of the provided responses are correct. The correct area of the polygon is 72 square units.