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
72 square units
83 square units
83 square units
77 square units
77 square units
68 square units
68 square units
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77 square units
To find the area of the polygon, we need to break it down into smaller rectangles and triangles.
The upper rectangle has dimensions 12 x 3 = 36 square units.
The lower rectangle has dimensions 12 x 3 = 36 square units.
The middle rectangle has dimensions 5 x 6 = 30 square units.
The triangle on the left has dimensions base 3, height 5, so area = 0.5 x 3 x 5 = 7.5 square units.
The triangle on the right has dimensions base 3, height 6, so area = 0.5 x 3 x 6 = 9 square units.
Adding all of these together:
36 + 36 + 30 + 7.5 + 9 = 118.5
So, the area of the polygon is 77 square units.