Use the image to answer the question.
An illustration shows the outline of letter upper H. The two vertical sides of the outline letter upper H have length 12 and width 3. The horizontal part across the middle has length 5. The inner side of the upper vertical part of the H has length 5. The inner side of the lower vertical part has length 6.
What is the area of the polygon?
(1 point)
Responses
72 square units
68 square units
83 square units
77 square units
To find the area of the polygon, we first need to find the area of the larger rectangle formed by the outline of the letter upper H.
The area of the larger rectangle is length x width = 12 x 3 = 36 square units.
Next, we need to find the area of the two smaller rectangles inside the larger rectangle.
One of the smaller rectangles has dimensions 5 x 3 = 15 square units. The other smaller rectangle has dimensions 5 x 3 = 15 square units.
Now, subtract the total area of the two smaller rectangles from the area of the larger rectangle to find the area of the polygon:
36 square units - (15 square units + 15 square units) = 36 - 30 = 6 square units.
Therefore, the area of the polygon is 6 square units.
The closest option provided is not correct, so none of the given options are correct. The correct answer is 6 square units.