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
68 square units
68 square units
72 square units
72 square units
77 square units
77 square units
83 square units
The area of the polygon can be calculated by breaking it down into simpler shapes.
The polygon consists of two rectangles and two triangles.
Area of the first rectangle = length x width = 12 x 3 = 36 square units
Area of the second rectangle = length x width = 12 x 3 = 36 square units
Area of the first triangle = (1/2) x base x height = (1/2) x 5 x 5 = 12.5 square units
Area of the second triangle = (1/2) x base x height = (1/2) x 6 x 3 = 9 square units
Adding all these areas together:
36 + 36 + 12.5 + 9 = 93.5 square units
Therefore, the area of the polygon is closest to 83 square units.