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
24 square units
24 square units
36 square units
36 square units
30 square units
30 square units
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To find the area of the figure, we first need to find the area of the large rectangle and then subtract the area of the smaller rectangle that is missing.
The area of the large rectangle can be found by multiplying the length and width: 6 * 8 = 48 square units.
The smaller rectangle that is missing has a width of 2 units. To find the length, we need to subtract the missing width from the total length of the left side of the polygon. The total length of the left side is 6 units. The missing width is 2 units. So the length of the smaller rectangle is 6 - 2 = 4 units.
The area of the smaller rectangle is then found by multiplying the length and width: 4 * 2 = 8 square units.
To find the area of the figure, we subtract the area of the smaller rectangle from the area of the large rectangle: 48 - 8 = 40 square units.
Therefore, the area of the figure is 40 square units.
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
What is the area of the figure?