4b. A'Leila knows that a = (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?

Question

(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

Answer 1

To solve for side \( a \) given that \( a = \frac{1}{2}b \), we start with the information provided:

1. \( b = 12 \) meters.

Now, substituting into the equation:

\[ a = \frac{1}{2} \times 12 \text{ meters} = 6 \text{ meters} \]

So the length of side \( a \) is 6 meters.

Next, we need to calculate the perimeter of the donkey's pen, which is a rectangle, so the formula for the perimeter \( P \) is:

\[ P = 2(a + b) \]

Substituting the values of \( a \) and \( b \):

\[ P = 2(6 \text{ meters} + 12 \text{ meters}) = 2(18 \text{ meters}) = 36 \text{ meters} \]

Thus, the perimeter of the donkey's pen is 36 meters.

Final Answers:

1. Side \( a \): 6 meters
2. Perimeter: 36 meters

Answer 2

u sure

Answer 3

Yes, let's double-check the calculations step by step to ensure accuracy.

1. Finding Side \( a \):

   • Given the relationship \( a = \frac{1}{2}b \) and that \( b = 12 \) meters: \[ a = \frac{1}{2} \times 12 \text{ meters} = 6 \text{ meters} \] This confirms that side \( a \) is indeed 6 meters.

2. Calculating the Perimeter:

   • The formula for the perimeter \( P \) of a rectangle is: \[ P = 2(a + b) \]
   • Substituting the values for \( a \) and \( b \): \[ P = 2(6 \text{ meters} + 12 \text{ meters}) = 2(18 \text{ meters}) = 36 \text{ meters} \] This confirms that the perimeter of the donkey's pen is 36 meters.

So, the original answers stand correct:

• Side \( a \): 6 meters
• Perimeter: 36 meters

If you have any specific points of confusion or further questions, feel free to ask!