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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

30 square units
30 square units

36 square units
36 square units

24 square units
24 square units

48 square units
48 square units
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Answer 1

To find the area of the figure, we need to calculate the area of the polygon and subtract the area of the missing rectangle.

The area of the polygon can be found by multiplying the length of the top side (6) and the length of the right side (8), which gives us 6 * 8 = 48 square units.

The missing rectangle has a length of 2 units (as given in the problem), and the width can be determined by subtracting the lengths of the top and bottom sides of the polygon from the total length of the left side. The total length of the left side is given as 6 units, and the lengths of the top and bottom sides are both 6 units. So, the width of the missing rectangle is 6 - 6 = 0 units.

Therefore, the area of the missing rectangle is 2 * 0 = 0 square units.

To find the area of the figure, we need to subtract the area of the missing rectangle from the area of the polygon. Thus, the area of the figure is 48 - 0 = 48 square units.