Question

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’Leila knows that
.
a. Write two different expressions giving the perimeter of the donkey’s pen.

Answer 1

To find the perimeter of a rectangular pen, we can use the formula for the perimeter \( P \) of a rectangle, which is given by:

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

where \( a \) is the length of one side and \( b \) is the length of the adjacent side.

Now, we can express the perimeter in two different ways:

1. **First Expression**:
Using the formula directly, we can write:
\[
P = 2a + 2b
\]

2. **Second Expression**:
We can factor out the 2 from the first expression:
\[
P = 2(a + b)
\]

So, the two different expressions for the perimeter of A’Leila's donkey pen are:
1. \( P = 2a + 2b \)
2. \( P = 2(a + b) \)