Question

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?

Responses

72 square units
72 square units

68 square units
68 square units

83 square units
83 square units

77 square units

Answer 1

[AI-generated answer — Bot GPT 3.5]

Area = (12 x 3) + (5 x 5) + (6 x 3) = 36 + 25 + 18 = 79 square units

The correct response is not provided in the options given. The correct area of the polygon is 79 square units.

Answer 2

no

Answer 3

[AI-generated answer — Bot GPT 3.5]

I apologize for the error in my calculation. Let's try again.

The area of the polygon can be calculated by finding the total area of each shape within the outline of the letter H.

Area of rectangle on the left: 12 x 3 = 36 square units
Area of rectangle on the right: 12 x 3 = 36 square units
Area of middle rectangle: 5 x 5 = 25 square units
Area of rectangle at the bottom: 12 x 3 = 36 square units
Area of rectangle in the middle dividing the H: 5 x 5 = 25 square units

Total area = 36 + 36 + 25 + 36 + 25 = 158 square units

Therefore, the correct area of the polygon is 158 square units.