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.
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.
Explain why you used that expression to evaluate the perimeter of the
donkey’s pen.
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.
To evaluate the perimeter of the pen using the expression, we need to know the formula for calculating the perimeter. Let's assume that the pen is in the shape of a rectangle with sides "a" and "b".
The formula for calculating the perimeter of a rectangle is: P = 2 * (a + b)
Since the problem specifies that "a" should be greater than 5 and less than 15, let's choose the value of a = 10.
Now, we need to determine the value of "b". Without any further information, we can assume that the sides of the rectangle are equal. Therefore, we can set b = a.
Substituting the values of a = 10 and b = 10 into the formula, we can calculate the perimeter as:
P = 2 * (10 + 10)
P = 2 * 20
P = 40
So, the perimeter of the pen with a value of "a" equal to 10 is equal to 40 units.