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
30 square units
36 square units
24 square units
To find the area of the figure, we need to subtract the area of the missing rectangular piece from the total area of the polygon.
First, let's find the area of the rectangle. The missing rectangular piece has a width of 2 and the same height as the height of the polygon, which is 6. Therefore, the area of the missing rectangular piece is 2*6 = 12 square units.
The total area of the polygon is found by multiplying the lengths of the sides of the polygon. The top side has a length of 6, the right side has a length of 8, and the bottom side has a length of 6. Therefore, the area of the polygon is 6*8*6 = 288 square units.
Finally, we subtract the area of the missing rectangular piece from the total area of the polygon: 288 - 12 = 276 square units.
Therefore, the correct answer is not provided in the options.