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.


(a height and b length)


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 = (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 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
49 meters

48 meters
48 meters

36 meters
36 meters

Answer 1

### Question 4

**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)**

The formulas for calculating the perimeter \( P \) of a rectangle with dimensions \( a \) and \( b \) are:

1. \( a + a + b + b \) (This simplifies to \( 2a + 2b \))
2. \( 2a + 2b \) (This is the standard formula for the perimeter)
3. \( a \times b \) (This is incorrect; it calculates the area, not the perimeter)
4. \( a + 2b \) (This is incorrect; it does not give the full perimeter of the rectangle)

**Correct Responses:**
- \( a + a + b + b \)
- \( 2a + 2b \)

---

**4b. A'Leila knows that \( a = \frac{1}{2} b \). 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)**

Since \( b = 12 \):

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

**Correct Response:**
- 6 meters

---

**4c. Using the dimensions from part b of this question, calculate the perimeter of the donkey's pen. (2 points)**

Using \( a = 6 \) meters and \( b = 12 \) meters, we can calculate the perimeter:

\[
P = 2a + 2b = 2 \times 6 + 2 \times 12 = 12 + 24 = 36 \text{ meters}
\]

**Correct Response:**
- 36 meters