Question 4

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

Answer 1

a. The perimeter of the donkey's pen can be expressed as 2a + 2b or 2(a + b).

b. Let's choose a = 10 and b = 8.

Using the expression 2a + 2b, the perimeter of the pen would be 2(10) + 2(8) = 20 + 16 = 36 yards.

c. I used the expression 2a + 2b to evaluate the perimeter of the donkey's pen because it calculates the sum of the lengths of all four sides of the rectangle. By multiplying the length and width by 2, we get the total distance around the pen.