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 62.5 square units 62.5 square units 61 square units

1 answer

To find the area of the polygon, we need to divide it into three shapes - a rectangle, a triangle, and a trapezoid.

The rectangle has dimensions 2 by 8, so its area is 2 * 8 = 16 square units.
The triangle has base 6 and height 3, so its area is 0.5 * 6 * 3 = 9 square units.
The trapezoid has bases 3 and 8, and height 3. Its area is 0.5 * (3 + 8) * 3 = 0.5 * 11 * 3 = 16.5 square units.

Thus, the total area of the polygon is 16 + 9 + 16.5 = 41.5 square units.

Since 50.5 square units is not a given answer choice, the closest one is 61 square units.