Question 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 54 square units 54 square units 42 square units 42 square units 36 square units 36 square units 72 square units 72 square units Skip to navigation

1 answer

To find the area of the polygon, we need to divide it into smaller rectangles and triangles.

There are two rectangles and two triangles in the polygon.
Rectangle 1: 3 units x 4 units = 12 square units
Rectangle 2: 4 units x 3 units = 12 square units
Triangle 1: 3 units x 2 units = 6 square units
Triangle 2: 4 units x 3 units / 2 = 6 square units

Total area = 12 + 12 + 6 + 6 = 36 square units

Therefore, the area of the polygon is 36 square units.
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