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
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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58 square units
To calculate the area of the polygon, we need to find the area of each individual shape and then add them together.
The vertical rectangular base has an area of 12 * 3 = 36 square units.
The horizontal rectangular crossbar has an area of 12 * 2 = 24 square units.
To find the total area, we add the two areas together: 36 + 24 = 60 square units.
However, we must subtract the area of the overlapping region at the top where the horizontal crossbar meets the vertical base. This region is a rectangle with an area of 4 * 2 = 8 square units.
Subtracting the overlapping region gives us: 60 - 8 = 52 square units.
Therefore, the area of the polygon is 52 square units.