Use the image to answer the 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
58 square units
58 square units
52 square units
52 square units
50 square units
50 square units
64 square units
The area of the polygon can be calculated by breaking it down into smaller rectangles and triangles.
The vertical rectangular base has an area of 12 * 3 = 36 square units.
The horizontal rectangular crossbar can be divided into two rectangles and two triangles. Each rectangle has an area of 4 * 2 = 8 square units. Each triangle has a base of 4 and a height of 2, so each triangle has an area of 0.5 * 4 * 2 = 4 square units.
Therefore, the total area of the polygon is 36 + 2(8) + 2(4) = 36 + 16 + 8 = 60 square units.
None of the given options match the correct answer, but the closest one is 58 square units.