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
48 square units

36 square units
36 square units

30 square units
30 square units

24 square units
24 square units
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User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
7 months ago

In order to find the total area of the figure, we need to calculate the area of the larger polygon and subtract the area of the missing rectangle.

The area of the larger polygon can be calculated by dividing it into two rectangles:

Rectangle 1: 6 x 8 = 48 square units
Rectangle 2: 6 x 2 = 12 square units

Adding both areas together: 48 + 12 = 60 square units

Now we need to subtract the area of the missing rectangle. The dimensions of the missing rectangle are: 2 x 6 = 12 square units

Subtracting the missing rectangle area from the total area of the larger polygon: 60 - 12 = 48 square units

Therefore, the area of the figure is 48 square units.