Use the image to answer the question.

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

30 square units
30 square units

48 square units
48 square units

36 square units
36 square units

24 square units
24 square units

Answer 1

The area of the figure can be found by first finding the area of the larger polygon and then subtracting the area of the missing rectangle.

First, find the area of the larger polygon:
Area = (6 + 8) * 6 / 2 = 7 * 6 = 42 square units

Next, find the area of the missing rectangle:
Area = 6 * 2 = 12 square units

Subtract the area of the missing rectangle from the area of the larger polygon:
42 - 12 = 30 square units

Therefore, the area of the figure is 30 square units.