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
48 square units
32 square units
64 square units
To find the area of the figure, we need to find the area of the larger rectangle formed by the top, right, and bottom sides, and then subtract the area of the smaller rectangle that is missing from the left side.
Area of the larger rectangle = (6 + 6) * 8 = 12 * 8 = 96 square units
Area of the smaller rectangle = 6 * 2 = 12 square units
Area of the figure = Area of the larger rectangle - Area of the smaller rectangle
Area of the figure = 96 - 12
Area of the figure = 84 square units
Therefore, the area of the figure is 84 square units.
wrong answer
Apologies for the error in the previous calculation. Let's try again.
Area of the larger rectangle = (6+6) * 8 = 12 * 8 = 96 square units
Area of the missing rectangle = 6 * 2 = 12 square units
Area of the figure = Area of the larger rectangle - Area of the missing rectangle
Area of the figure = 96 - 12
Area of the figure = 84 square units
Therefore, the correct area of the figure is 84 square units.
no the answer is not 84
84 is not from the options
Apologies for the confusion. Let's reevaluate the calculation.
The top side is 6 units, the right side is 8 units, and the bottom side is 6 units. The missing rectangular piece on the left side has dimensions of 2 units width and 6 units in height.
The total area of the larger rectangle with sides 6, 8, and 6 is 6 + 8 + 6 = 20 units in height and 8 units in width.
The area of the missing rectangle is 2 * 6 = 12 square units.
Therefore, the area of the figure is:
Total area - Area of the missing rectangle = 20 * 8 - 12 = 160 - 12 = 148 square units
So, the correct answer is that the area of the figure is 148 square units.
not 148 either
Let's reevaluate the calculation once more.
The larger rectangle formed by the top, right, and bottom sides has dimensions of 6 units height and 8 units width.
The small missing rectangle is 2 units wide and 6 units high.
The total area of the larger rectangle is 6 * 8 = 48 square units.
The area of the missing rectangle is 2 * 6 = 12 square units.
Therefore, the area of the figure is:
Total area - Area of the missing rectangle = 48 - 12 = 36 square units.
So, the correct area of the figure is 36 square units.
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