Question
Question 4
A'Leila is building a pen for her pet donkey. The pen is a rectangle with one side measuring b yards and the adjacent side measuring a yards.
4a. Which formulas could A'Leila use to calculate the perimeter of the donkey's pen? Be sure to select ALL that would work to calculate the perimeter.
(2 points)
Responses
a + a + b + b
a + a + b + b
2a + 2b
2 a + 2 b
a x b
a x b
a + 2b
a + 2 b
Question 2
4b. A'Leila knows that a = (12)
b. If side b of her donkey's pen is going to be 12 meters, how long should side a be using this equation?
(1 point)
Responses
6 meters
6 meters
12 meters
12 meters
24 meters
24 meters
12 12
meters
12 1 half meters
Question 3
4c. Using the dimensions from part b of this question, calculate the perimeter of the donkey's pen.
(2 points)
Responses
72 meters
72 meters
49 meters
49 meters
48 meters
48 meters
36 meters
36 meters
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A'Leila is building a pen for her pet donkey. The pen is a rectangle with one side measuring b yards and the adjacent side measuring a yards.
4a. Which formulas could A'Leila use to calculate the perimeter of the donkey's pen? Be sure to select ALL that would work to calculate the perimeter.
(2 points)
Responses
a + a + b + b
a + a + b + b
2a + 2b
2 a + 2 b
a x b
a x b
a + 2b
a + 2 b
Question 2
4b. A'Leila knows that a = (12)
b. If side b of her donkey's pen is going to be 12 meters, how long should side a be using this equation?
(1 point)
Responses
6 meters
6 meters
12 meters
12 meters
24 meters
24 meters
12 12
meters
12 1 half meters
Question 3
4c. Using the dimensions from part b of this question, calculate the perimeter of the donkey's pen.
(2 points)
Responses
72 meters
72 meters
49 meters
49 meters
48 meters
48 meters
36 meters
36 meters
Skip to navigation
Answers
There are no human answers yet.
Answered by
GPT-4o mini
### 4a. Which formulas could A'Leila use to calculate the perimeter of the donkey's pen?
The perimeter \( P \) of a rectangle is calculated using the formula:
\[
P = 2a + 2b
\]
or equivalently:
\[
P = a + a + b + b
\]
Therefore, the correct choices are:
- **a + a + b + b**
- **2a + 2b**
The other options:
- **a x b** (this calculates the area, not the perimeter)
- **a + 2b** (this does not correctly represent the perimeter of a rectangle)
### 4b. If side b of her donkey's pen is going to be 12 meters, how long should side a be using this equation?
Given that \( b = 12 \) meters, there is no additional equation provided in the question to determine \( a \). If we assume \( a \) is simply a variable that can take any value, it could be any positive measurement.
Therefore, the most reasonable response among the options provided must align with a potential context that may not have been included in the original question (additional specification).
If we assume that there is a characteristic ratio or relationship specified elsewhere (like \( a = b/2 \)), then the answer would relate to that.
If no context is provided, we cannot determine \( a \) specifically from the given options.
### 4c. Using the dimensions from part b of this question, calculate the perimeter of the donkey's pen.
If we assume from the context that \( a \) has been previously determined to be a certain value, we can still calculate the perimeter using the dimensions given (let’s assume A'Leila set \( a = 6 \) meters for our calculations).
If:
- \( a = 12 \) meters
- \( b = 12 \) meters
The perimeter \( P \) calculates as follows:
\[
P = 2a + 2b = 2(12) + 2(12) = 24 + 24 = 48 \text{ meters}
\]
Thus, the correct response is:
- **48 meters**
If \( a \) was to be something else, you would input that to the same formula to reach the perimeter accordingly.
Please clarify any additional details for more specific solutions.
The perimeter \( P \) of a rectangle is calculated using the formula:
\[
P = 2a + 2b
\]
or equivalently:
\[
P = a + a + b + b
\]
Therefore, the correct choices are:
- **a + a + b + b**
- **2a + 2b**
The other options:
- **a x b** (this calculates the area, not the perimeter)
- **a + 2b** (this does not correctly represent the perimeter of a rectangle)
### 4b. If side b of her donkey's pen is going to be 12 meters, how long should side a be using this equation?
Given that \( b = 12 \) meters, there is no additional equation provided in the question to determine \( a \). If we assume \( a \) is simply a variable that can take any value, it could be any positive measurement.
Therefore, the most reasonable response among the options provided must align with a potential context that may not have been included in the original question (additional specification).
If we assume that there is a characteristic ratio or relationship specified elsewhere (like \( a = b/2 \)), then the answer would relate to that.
If no context is provided, we cannot determine \( a \) specifically from the given options.
### 4c. Using the dimensions from part b of this question, calculate the perimeter of the donkey's pen.
If we assume from the context that \( a \) has been previously determined to be a certain value, we can still calculate the perimeter using the dimensions given (let’s assume A'Leila set \( a = 6 \) meters for our calculations).
If:
- \( a = 12 \) meters
- \( b = 12 \) meters
The perimeter \( P \) calculates as follows:
\[
P = 2a + 2b = 2(12) + 2(12) = 24 + 24 = 48 \text{ meters}
\]
Thus, the correct response is:
- **48 meters**
If \( a \) was to be something else, you would input that to the same formula to reach the perimeter accordingly.
Please clarify any additional details for more specific solutions.
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