Question

Choose a value for a that is greater than 5 and less than 15. Evaluate the
perimeter of the pen for that value, using one of the expressions that you
wrote.

Answer 1

Explain why you used that expression to evaluate the perimeter of the
donkey’s pen.

Answer 2

Let's choose a value for a as 9.

Using the expression for the perimeter of the pen:
Perimeter = 2a + 4

Plugging in the value of a as 9:
Perimeter = 2(9) + 4
Perimeter = 18 + 4
Perimeter = 22

Therefore, the perimeter of the pen for a value of 9 is 22.

Answer 3

I used the expression 2a + 4 to evaluate the perimeter of the donkey's pen because it represents a rectangular shape with sides of length a and sides of length 2a.

In this case, a represents the length of one side of the pen, and since the pen is rectangular, there are two sides of length a and two sides of length 2a. The expression 2a represents the combined lengths of the two sides of length a, and 4 represents the combined lengths of the two sides of length 2a.

By evaluating this expression for a specific value, we can determine the perimeter of the pen by adding up the lengths of all four sides.