Question

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

24 square units
24 square units

48 square units
48 square units

30 square units
30 square units

36 square units
36 square units
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Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the area of the figure, we need to find the area of the larger polygon and subtract the area of the missing rectangular piece.

The larger polygon can be divided into a rectangle and a triangle. The rectangle has a length of 8 and a width of 6. So, the area of the rectangle is 8 * 6 = 48 square units.

The missing rectangular piece has a length of 2 and a width of 6. So, the area of the missing piece is 2 * 6 = 12 square units.

To find the area of the figure, we subtract the area of the missing piece from the area of the larger polygon:

48 square units - 12 square units = 36 square units.

Therefore, the area of the figure is 36 square units.