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
50 square units
50 square units
58 square units
58 square units
52 square units
52 square units
64 square units
64 square units
64 square units
To find the area of the polygon, we need to calculate the area of each individual rectangle and subtract the area of the overlapping portions.
Vertical base rectangle:
Length = 12, Width = 3
Area = Length * Width = 12 * 3 = 36 square units
Horizontal crossbar rectangle:
Length = 16, Width = 2
Area = Length * Width = 16 * 2 = 32 square units
Individual rectangle areas = 36 + 32 = 68 square units
Overlapping portions:
Length = 4, Width = 2
Area = Length * Width = 4 * 2 = 8 square units
Total overlapping portion area = 8 square units
Area of the polygon = Individual rectangle areas - Overlapping portion area
Area = 68 - 8 = 60 square units
Therefore, the answer is 60 square units.