Use the image to answer the question.
An illustration shows a polygon where the top, right, and bottom sides are perpendicular to each other. A smaller rectangular piece is missing from the center of the left side of the polygon inward. The dimensions are as follows: the top side is 6, the right side is 8, and the bottom side is 6. The left side is divided into three parts. It shows a vertical width of 2 from the top
Solve the following problem using what you know about composite figures. What is the area of the figure?
(1 point)
Responses
48 square units
24 square units
36 square units
30 square units
To find the area of the figure, we need to find the area of the entire polygon and then subtract the area of the missing rectangular piece.
The area of the entire polygon can be calculated as:
Area = (6 + 6) x 8 / 2 = 48 square units
Now, we need to find the area of the missing rectangular piece. The missing rectangular piece has a height of 2 units and a length of 6 units. Therefore, the area of the missing rectangular piece is:
Area = 2 x 6 = 12 square units
Subtracting the area of the missing rectangular piece from the area of the entire polygon gives:
48 - 12 = 36 square units
Therefore, the area of the figure is 36 square units.
The correct answer is: 36 square units