Use the image to answer the question.

Question

An illustration shows the outline of letter upper T. The vertical rectangular base of the letter has length 12 and width 3. The horizontal rectangular crossbar at the top has thickness 2. The lower sides of the horizontal crossbar on either side of the vertical base measure 4.

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

64 square units
64 square units

52 square units
52 square units

58 square units
58 square units

50 square units
50 square units
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Answer 1

To find the area of the polygon, we need to calculate the area of each individual shape and then add them together.

- The vertical rectangle at the base has an area of 12 * 3 = 36 square units.
- The horizontal rectangle at the top has an area of (12 + 2) * 4 = 56 square units. Note that we add 2 to the length to account for the thickness of the crossbar.
- The shaded area of the polygon is the difference between the area of the two rectangles: 56 - 36 = 20 square units.

Therefore, the area of the polygon is 36 + 20 = 56 square units.

Therefore, the correct answer is not provided in the options given.