A’Leila is building a pen for her pet donkey. The pen is a rectangle with one side

Question

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

The perimeter \( P \) of a rectangle is given by the formula:

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

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. Using the original formula: \[ P = 2a + 2b \]

2. Reorganizing the terms: \[ P = 2(b + a) \]

Thus, the two different expressions for the perimeter of the donkey’s pen are:

1. \( 2a + 2b \)
2. \( 2(b + a) \)