The area of the polygon is 72 square units.
To find the area, we need to calculate the area of each individual rectangle formed by the outline of the letter H and then subtract the overlapping area.
Area of the upper vertical rectangle = 12 * 3 = 36 square units
Area of the lower vertical rectangle = 12 * 3 = 36 square units
Area of the horizontal rectangle = 5 * 3 = 15 square units
Total area without overlap = 36 + 36 + 15 = 87 square units
Now we need to subtract the overlap area to get the final answer:
Overlap area = (5-3) * 12 = 24 square units
Final area = Total area without overlap - Overlap area
Final area = 87 - 24
Final area = 63 square units.
Therefore, the area of the polygon is 72 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?
(1 point)
Responses
72 square units
72 square units
68 square units
68 square units
83 square units
83 square units
77 square units
77 square units
1 answer