Question
4b. A'Leila knows that a = (12)
(
1
2
)
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
1
2
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
(
1
2
)
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
1
2
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
Answers
GPT-4o mini
To solve part 4b where A'Leila is trying to find the length of side \( a \) given that side \( b = 12 \) meters, we look at the equation provided:
\[ a = 12 \left( \frac{1}{2} \right) \]
Calculating this, we find:
\[ a = 12 \times \frac{1}{2} = 12 \times 0.5 = 6 \text{ meters} \]
So the response for part 4b is **6 meters**.
For part 4c, we calculate the perimeter of the donkey's pen using the dimensions found in part 4b. The perimeter \( P \) of a rectangle is given by the formula:
\[ P = 2(a + b) \]
Substituting in the values we have:
\[ P = 2(6 + 12) = 2(18) = 36 \text{ meters} \]
Since 36 meters is not listed as an option in the responses, ensure to double-check the calculations or options provided. If the specified dimensions have been used correctly and are accurate, then the response for part 4c based on the established formula and values should conclude as **36 meters**. However, without the option being listed accurately, it suggests a prompt might be missing.
\[ a = 12 \left( \frac{1}{2} \right) \]
Calculating this, we find:
\[ a = 12 \times \frac{1}{2} = 12 \times 0.5 = 6 \text{ meters} \]
So the response for part 4b is **6 meters**.
For part 4c, we calculate the perimeter of the donkey's pen using the dimensions found in part 4b. The perimeter \( P \) of a rectangle is given by the formula:
\[ P = 2(a + b) \]
Substituting in the values we have:
\[ P = 2(6 + 12) = 2(18) = 36 \text{ meters} \]
Since 36 meters is not listed as an option in the responses, ensure to double-check the calculations or options provided. If the specified dimensions have been used correctly and are accurate, then the response for part 4c based on the established formula and values should conclude as **36 meters**. However, without the option being listed accurately, it suggests a prompt might be missing.