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.
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
3 answers
no
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.
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.