To find the area of the figure, we first need to find the area of the large polygon and then subtract the area of the smaller rectangular piece that is missing.
Area of the large polygon = 6 (top side) + 8 (right side) + 6 (bottom side)
= 20
Now, we need to find the area of the smaller rectangular piece that is missing. The missing piece has a width of 2 and the same height as the large polygon.
Area of the missing piece = 2 (width) x 6 (height)
= 12
Now, we subtract the area of the missing piece from the area of the large polygon to get the final area of the figure:
Area of the figure = 20 - 12
= 8
Therefore, the area of the figure is 8 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?
3 answers
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?
Solve the following problem using what you know about composite figures. What is the area of the figure?
To find the area of the figure, we first calculate the area of the larger polygon and then subtract the area of the smaller rectangle that is missing.
The larger polygon is a rectangle with a top side of 6, bottom side of 6, and right side of 8. The area of a rectangle is found by multiplying its length by its width. Therefore, the area of the larger polygon is:
Area of larger polygon = 6 (top side) * 8 (right side) = 48 square units
Now, we need to find the area of the smaller rectangle that is missing from the left side. It has a width of 2 and the same height as the larger polygon.
The area of the missing rectangle = 2 (width) * 6 (height) = 12 square units
To find the total area of the figure, we subtract the area of the missing rectangle from the area of the larger polygon:
Total area = Area of larger polygon - Area of missing rectangle
Total area = 48 - 12 = 36 square units
Therefore, the area of the figure is 36 square units.
The larger polygon is a rectangle with a top side of 6, bottom side of 6, and right side of 8. The area of a rectangle is found by multiplying its length by its width. Therefore, the area of the larger polygon is:
Area of larger polygon = 6 (top side) * 8 (right side) = 48 square units
Now, we need to find the area of the smaller rectangle that is missing from the left side. It has a width of 2 and the same height as the larger polygon.
The area of the missing rectangle = 2 (width) * 6 (height) = 12 square units
To find the total area of the figure, we subtract the area of the missing rectangle from the area of the larger polygon:
Total area = Area of larger polygon - Area of missing rectangle
Total area = 48 - 12 = 36 square units
Therefore, the area of the figure is 36 square units.