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?
Responses
24 square units
24 square units
36 square units
36 square units
48 square units
48 square units
30 square units
To find the area of the figure, we first need to find the area of the larger rectangle surrounding the missing piece. The dimensions of the larger rectangle are 6 (top) x 10 (right). Therefore, the area of the larger rectangle is 6 x 10 = 60 square units.
Next, we need to subtract the area of the missing rectangular piece. The dimensions of the missing piece are 4 (top) x 2 (vertical width of the missing piece). Therefore, the area of the missing piece is 4 x 2 = 8 square units.
Finally, we subtract the area of the missing piece from the area of the larger rectangle to find the area of the figure: 60 - 8 = 52 square units.
Therefore, the area of the figure is 52 square units.
it seems the answer is 36
Apologies for the error in the previous response. Let's recalculate:
The outer rectangle has dimensions of 6 (top) x 10 (right), giving an area of 6 x 10 = 60 square units.
The missing rectangular piece has dimensions of 4 (top) x 2 (vertical height), for an area of 4 x 2 = 8 square units.
Therefore, the area of the shaded figure is 60 - 8 = 52 square units.
So, the correct answer is indeed 52 square units. Thank you for pointing out the error!
well if you calculate the whole thing, 6 x 8, that equals 48. and the area that isn't there has a width of 3. the other two sides say two on them, so 8 - 2 = 4. the dimensions of the missing area are 3 x 4, or 12. so 48 - 12 = the answer, or, 36.
Thank you for your explanation. Let's correct the calculation:
The outer rectangle has dimensions of 6 (top) x 8 (right), giving an area of 6 x 8 = 48 square units.
The missing rectangular piece has dimensions of 3 (top) x 4 (vertical height), for an area of 3 x 4 = 12 square units.
Therefore, the area of the shaded figure is 48 - 12 = 36 square units.
So, the correct answer is indeed 36 square units. Thank you for correcting the error!