Question 4%0D%0AA)%0D%0AUse the image to answer the question.%0D%0A%0D%0A%0D%0A%0D%0AWhat 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.%0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0A54 square units%0D%0A54 square units%0D%0A%0D%0A42 square units%0D%0A42 square units%0D%0A%0D%0A36 square units%0D%0A36 square units%0D%0A%0D%0A72 square units%0D%0A72 square units
To find the area of the polygon, we need to divide it into simpler shapes. From the image, we can see that the polygon can be split into two rectangles and two right triangles.
The area of the larger rectangle is 6 x 6 = 36 square units.
The area of the smaller rectangle is 3 x 6 = 18 square units.
The area of each right triangle is (1/2) x base x height. The base and height of the right triangle on the left is 3 units, so its area is (1/2) x 3 x 3 = 4.5 square units. The area of the right triangle on the right is also 4.5 square units.
Therefore, the total area of the polygon is 36 + 18 + 4.5 + 4.5 = 63 square units.
The correct answer is not provided in the answer choices but the closest one is 54 square units.