Use the image to answer the question. What is the area of the polygon? Assume that segments that appear congruent are congruent. (1 point) Responses 140 square units 140 square units 190 square units 190 square units 76 square units 76 square units 165 square units
The area of the polygon is 165 square units.
To find the area of a polygon, we need to break it down into triangles and then sum up the areas of the triangles. In this case, we can see that the polygon can be divided into two triangles and a rectangle.
The smaller triangle has a base of 5 units and a height of 10 units, so its area is 0.5 * 5 * 10 = 25 square units.
The larger triangle has a base of 10 units and a height of 15 units, so its area is 0.5 * 10 * 15 = 75 square units.
The rectangle has a base of 10 units and a height of 5 units, so its area is 10 * 5 = 50 square units.
Adding up the areas of the two triangles and the rectangle, we get 25 + 75 + 50 = 150 square units.
Therefore, the area of the polygon is 150 square units.