Question 1%0D%0AA)%0D%0AUse the image to answer the question.%0D%0A%0D%0A%0D%0A%0D%0AFind the area of the polygon. Assume that segments that appear congruent are congruent and angles that appear to be right angles are right angles.%0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0A50.5 square units%0D%0A50.5 square units%0D%0A%0D%0A61.5 square units%0D%0A61.5 square units%0D%0A%0D%0A61 square units%0D%0A61 square units%0D%0A%0D%0A62.5 square units
To find the area of the polygon, we can divide it into two triangles and one rectangle.
The area of the rectangle is base x height = 6 x 6 = 36 square units.
The area of the two triangles can be found by using the formula for the area of a triangle, which is 1/2 x base x height.
For the triangle on the left side, the base is 6 units and the height is 4 units, so the area is 1/2 x 6 x 4 = 12 square units.
For the triangle on the right side, the base is 6 units and the height is 3 units, so the area is 1/2 x 6 x 3 = 9 square units.
Adding up the areas of the rectangle and the two triangles, we get 36 + 12 + 9 = 57 square units.
Therefore, the correct response is 57 square units.