Calculating the Perimeter of the Bulletin Board

Oct 13, 2025 by recoveryshake.com 33 views

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Introduction

In this problem, we are tasked with finding the length of a border around a classroom bulletin board. The bulletin board is shaped like a rectangle and measures 30 5/8 inches long and 24 1/4 inches wide. To find the length of the border, we need to calculate the perimeter of the bulletin board and then add the width of the border to it.

Calculating the Perimeter of the Bulletin Board

The perimeter of a rectangle is calculated by adding the lengths of all its sides. Since the bulletin board is a rectangle, we can use the formula:

Perimeter = 2(Length + Width)

We are given the length and width of the bulletin board as 30 5/8 inches and 24 1/4 inches, respectively. To add these measurements, we need to convert them to a common unit. Let's convert both measurements to inches:

30 5/8 inches = 30.625 inches 24 1/4 inches = 24.25 inches

Now, we can plug these values into the formula:

Perimeter = 2(30.625 + 24.25) Perimeter = 2(54.875) Perimeter = 109.75 inches

Adding the Width of the Border

The problem asks us to find the length of the border, which is the perimeter of the bulletin board plus the width of the border. Let's assume the width of the border is x inches. Then, the length of the border is:

Length of border = Perimeter + 2x

We know the perimeter of the bulletin board is 109.75 inches. To find the length of the border, we need to know the width of the border. However, the problem doesn't provide this information. Let's assume the width of the border is 1 inch. Then, the length of the border is:

Length of border = 109.75 + 2(1) Length of border = 109.75 + 2 Length of border = 111.75 inches

Conclusion

In this problem, we calculated the perimeter of the bulletin board and then added the width of the border to find the length of the border. We assumed the width of the border to be 1 inch, but in reality, the width of the border can be any value. The length of the border will depend on the width of the border.

Real-World Application

This problem has a real-world application in architecture and design. When designing a building or a room, architects and designers need to calculate the perimeter of the space to determine the length of the border. This is especially important when designing a room with a unique shape, such as a rectangle with a curved edge.

Tips and Tricks

When solving this problem, it's essential to convert the measurements to a common unit before adding them. This will ensure that the calculations are accurate. Additionally, make sure to include the width of the border in the calculation to find the length of the border.

Practice Problems

A rectangular garden measures 20 feet long and 15 feet wide. What is the perimeter of the garden?
A room has a perimeter of 120 feet. If the width of the border is 2 feet, what is the length of the border?
A building has a perimeter of 500 feet. If the width of the border is 1 foot, what is the length of the border?

Solutions

Perimeter = 2(Length + Width) Perimeter = 2(20 + 15) Perimeter = 2(35) Perimeter = 70 feet
Length of border = Perimeter + 2x Length of border = 120 + 2(2) Length of border = 120 + 4 Length of border = 124 feet
Length of border = Perimeter + 2x Length of border = 500 + 2(1) Length of border = 500 + 2 Length of border = 502 feet

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Introduction

In our previous article, we explored the problem of finding the length of a border around a classroom bulletin board. The bulletin board is shaped like a rectangle and measures 30 5/8 inches long and 24 1/4 inches wide. We calculated the perimeter of the bulletin board and then added the width of the border to find the length of the border. In this article, we will answer some frequently asked questions related to this problem.

Q&A

Q: What is the perimeter of the bulletin board?

A: The perimeter of the bulletin board is 109.75 inches.

Q: How do I calculate the perimeter of a rectangle?

A: To calculate the perimeter of a rectangle, you need to add the lengths of all its sides. The formula is:

Perimeter = 2(Length + Width)

Q: What is the length of the border?

A: The length of the border is the perimeter of the bulletin board plus the width of the border. We assumed the width of the border to be 1 inch, so the length of the border is:

Length of border = 109.75 + 2(1) Length of border = 109.75 + 2 Length of border = 111.75 inches

Q: Can I use a different unit of measurement?

A: Yes, you can use any unit of measurement you prefer. However, make sure to convert all measurements to the same unit before adding them.

Q: How do I convert mixed numbers to decimal numbers?

A: To convert a mixed number to a decimal number, you need to convert the fraction part to a decimal number and then add it to the whole number part. For example:

30 5/8 = 30 + 0.625 30 5/8 = 30.625

Q: Can I use a calculator to solve this problem?

A: Yes, you can use a calculator to solve this problem. However, make sure to check your calculations to ensure that they are accurate.