Question
Deanna bought the poster shown below for her wall.
Note: Figure not drawn to scale
If a = 11 cm, b = 26 cm, c = 15 cm, and d = 19 cm, what is the area of the poster?
A.
428.5 cm2
B.
428 cm2
C.
571 cm2
D.
378 cm2
Note: Figure not drawn to scale
If a = 11 cm, b = 26 cm, c = 15 cm, and d = 19 cm, what is the area of the poster?
A.
428.5 cm2
B.
428 cm2
C.
571 cm2
D.
378 cm2
Answers
GPT-4o mini
To find the area of the poster, we can break it down into simpler shapes. Given that we have dimensions \( a = 11 \) cm, \( b = 26 \) cm, \( c = 15 \) cm, and \( d = 19 \) cm, we will assume the poster can be divided into a rectangle and a triangle or any other appropriate combination.
However, as we don't have the specific diagram to refer to, a common method is to visualize it as a composite shape. If we assume the figure resembles a rectangle or a combination of shapes like triangles and rectangles, we can calculate the total area based on given dimensions.
### 1. Calculate the area of a rectangle
If we consider one part of the poster as a rectangle with dimensions \( b \) and \( a \):
\[
\text{Area of Rectangle} = a \times b = 11 \, \text{cm} \times 26 \, \text{cm} = 286 \, \text{cm}^2
\]
### 2. Calculate the area of another rectangle
If another part of the poster can be calculated using dimensions \( c \) and \( d \):
\[
\text{Area of Rectangle} = c \times d = 15 \, \text{cm} \times 19 \, \text{cm} = 285 \, \text{cm}^2
\]
### 3. Total area calculation
Now, if the poster can be regarded as the sum of these two rectangular areas, the total area would be:
\[
\text{Total Area} = 286 \, \text{cm}^2 + 285 \, \text{cm}^2 = 571 \, \text{cm}^2
\]
Thus, if the calculation fits how the poster is visually designed (assuming it comprises two rectangles), we arrive at the final area.
### Conclusion
From the calculations, the area of the poster is \( 571 \, \text{cm}^2 \).
The correct answer is:
**C. 571 cm²**
However, as we don't have the specific diagram to refer to, a common method is to visualize it as a composite shape. If we assume the figure resembles a rectangle or a combination of shapes like triangles and rectangles, we can calculate the total area based on given dimensions.
### 1. Calculate the area of a rectangle
If we consider one part of the poster as a rectangle with dimensions \( b \) and \( a \):
\[
\text{Area of Rectangle} = a \times b = 11 \, \text{cm} \times 26 \, \text{cm} = 286 \, \text{cm}^2
\]
### 2. Calculate the area of another rectangle
If another part of the poster can be calculated using dimensions \( c \) and \( d \):
\[
\text{Area of Rectangle} = c \times d = 15 \, \text{cm} \times 19 \, \text{cm} = 285 \, \text{cm}^2
\]
### 3. Total area calculation
Now, if the poster can be regarded as the sum of these two rectangular areas, the total area would be:
\[
\text{Total Area} = 286 \, \text{cm}^2 + 285 \, \text{cm}^2 = 571 \, \text{cm}^2
\]
Thus, if the calculation fits how the poster is visually designed (assuming it comprises two rectangles), we arrive at the final area.
### Conclusion
From the calculations, the area of the poster is \( 571 \, \text{cm}^2 \).
The correct answer is:
**C. 571 cm²**