Ask a New Question
Menu

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

7 answers

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!

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 \( a \). 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!

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

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!

explain it like a 4th grader and make it 1 sentence max

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.