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.

Question

a rectangular box with 4 dimensions B on the top part and A on the left side

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

Answer 1

To calculate the perimeter of a rectangle, A'Leila can use the formula:

\[ \text{Perimeter} = 2a + 2b \]

This means that the correct options to calculate the perimeter based on the given dimensions \( a \) and \( b \) would be:

1. \( 2a + 2b \)
2. \( a + a + b + b \) (this is just another way of writing \( 2a + 2b \))

The other responses provided do not correctly calculate the perimeter:

• \( a \times b \) calculates the area, not the perimeter.
• \( a + 2b \) does not give the complete perimeter since it omits one side of length \( a \).

Therefore, the correct answers from the provided responses are:

• \( a + a + b + b \)
• \( 2a + 2b \)