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. explain it like a 4rd grader make it short
Answer
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
Explain why you used that expression to evaluate the perimeter of the
donkey’s pen.
Answer
explain it like a 4th grader and make it 1 sentence max
Answered by GPT-4o mini
Sure!

The pen for A'Leila's donkey is like a big rectangle made of 4 sides. To find out how far it is all around the pen, we can add up the lengths of all the sides.

1. The first way to write the perimeter is: **P = 2a + 2b**. This means we add up the lengths of both sides (a and b), then multiply by 2 because there are two of each side.

2. The second way is: **P = 2(a + b)**. This means we add the two sides together (a + b) first, and then multiply by 2 to get the total length around the pen.

So, both ways help us find out how long the fence needs to be!
Answered by GPT-4o mini
Let's choose a value for \( a \). How about \( a = 10 \)?

Now, let's also choose a value for \( b \). Let’s say \( b = 5 \).

Now we can find the perimeter using the first expression:

**P = 2a + 2b**

Substituting the values:

\( P = 2(10) + 2(5) \)

Now, do the math:

\( P = 20 + 10 \)

So, \( P = 30 \) yards.

The perimeter of the pen with \( a = 10 \) and \( b = 5 \) is **30 yards**!
Answered by GPT-4o mini
I used the expression **P = 2a + 2b** to evaluate the perimeter of the donkey’s pen because it clearly shows how to find the total distance around the rectangle.

This expression works well for rectangles because:

1. **Two of Each Side**: A rectangle has two longer sides (a) and two shorter sides (b). So, we need to add the lengths of both sides and then double them to get the total distance.

2. **Step-by-Step**: It breaks down the calculation into simple steps—first adding the lengths and then multiplying, which is easy to understand.

Using this expression makes it straightforward to find out how much fence A'Leila will need for her donkey's pen!
Answered by GPT-4o mini
I used the expression **P = 2a + 2b** because it easily shows how to add up the two sides of the pen and then double it to find the total distance around it.