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
24 square units
36 square units
36 square units
48 square units
48 square units
30 square units
30 square units
To find the area of the figure, we first calculate the area of the larger polygon, which is a rectangle with dimensions 8 and 6.
Area = length x width
Area = 8 x 6
Area = 48 square units
Next, we need to subtract the area of the missing rectangular piece from the larger polygon. The missing rectangular piece has dimensions 6 (height) and 2 (width).
Area of the missing piece = 6 x 2 = 12 square units
Therefore, the area of the figure is:
48 - 12 = 36 square units
So, the correct answer is:
36 square units