Use the image to answer the question.

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)

Answer 1

The area of the figure can be calculated by first finding the area of the larger polygon and then subtracting the area of the missing rectangle.

Area of larger polygon:
Area = base x height
Area = (6 + 6) x 8
Area = 12 x 8
Area = 96 square units

Area of missing rectangle:
Area = base x height
Area = 2 x 4
Area = 8 square units

Now, subtract the area of the missing rectangle from the area of the larger polygon:
96 - 8 = 88 square units

Therefore, the area of the figure is 88 square units.