In order to find the area of the figure, we can break it down into smaller parts and then add them together.
First, let's find the area of the larger right triangle on the right side of the figure. The base of this triangle is 8 units and the height is 6 units, so the area of this triangle is (1/2) * 8 * 6 = 24 square units.
Next, let's find the area of the rectangle missing from the left side of the figure. The length of this rectangle is 6 units (the same as the length of the bottom side of the figure), and the width can be found by subtracting the vertical width of 2 units from the left side of the figure from the total width of the left side, which is also 6 units. So the width of the missing rectangle is 6 - 2 = 4 units. Therefore, the area of the missing rectangle is 6 * 4 = 24 square units.
Finally, let's find the area of the square in the center of the figure. Since the top side is 6 units long, the width of the square is also 6 units. Therefore, the area of the square is 6 * 6 = 36 square units.
Now, we can add all of these areas together to find the total area of the figure: 24 + 24 + 36 = 84 square units.
So the correct answer is:
84 square units
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
30 square units
30 square units
36 square units
36 square units
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1 answer