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
36 square units
36 square units
24 square units
24 square units
30 square units
30 square units
48 square units
The missing rectangular piece on the left side has dimensions of 6 (height) and 2 (width), so the area of this missing piece is 6 x 2 = 12 square units.
The area of the original polygon is equal to the sum of the areas of the top, right, bottom, and left sides minus the area of the missing piece.
Area = (6 x 8) + (8 x 6) + (6 x 8) - 12
Area = 48 + 48 + 48 - 12
Area = 132 - 12
Area = 120 square units
The area of the figure is 120 square units.