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 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
24 square units
24 square units
48 square units
48 square units
32 square units
32 square units
64 square units
32 square units
To find the area of the figure, we first need to find the area of the original polygon by adding the areas of all four sides.
Area = (6 + 6) * 8 / 2 = 48 square units
Then, we need to subtract the area of the missing rectangular piece from the left side, which has a base of 6 units and a height of 2 units.
Area of missing rectangular piece = 6 * 2 = 12 square units
Finally, we subtract the area of the missing piece from the area of the original polygon.
48 - 12 = 36 square units
Therefore, the area of the figure is 36 square units.