The area of the figure can be found by adding the areas of the larger polygon and the smaller missing rectangle.
Area of larger polygon = (base + top) x height / 2
Area of larger polygon = (6 + 8) x 6 / 2
Area of larger polygon = 14 x 6 / 2
Area of larger polygon = 84 / 2
Area of larger polygon = 42 square units
Area of missing rectangle = 2 x 6
Area of missing rectangle = 12 square units
Total area = Area of larger polygon - Area of missing rectangle
Total area = 42 - 12
Total area = 30 square units
Therefore, the area of the figure is 30 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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