Length=9.5m,breadth=6.5m​

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Understanding the Problem

To calculate the perimeter of a rectangle, we need to know its length and breadth. In this case, the length is 9.5 meters and the breadth is 6.5 meters. We will use these values to calculate the perimeter.

What is Perimeter?

The perimeter of a rectangle is the total distance around its edges. It is calculated by adding the lengths of all four sides. Since a rectangle has two pairs of equal sides, we can calculate the perimeter by adding the length and breadth twice.

Formula for Perimeter

The formula for the perimeter of a rectangle is:

Perimeter = 2(Length + Breadth)

Calculating the Perimeter

Now that we have the formula, we can plug in the values for length and breadth.

Perimeter = 2(9.5 + 6.5) Perimeter = 2(16) Perimeter = 32

Conclusion

The perimeter of the rectangle is 32 meters. This means that if we were to walk around the rectangle, we would cover a total distance of 32 meters.

Real-World Applications

Calculating the perimeter of a rectangle has many real-world applications. For example, if you are a contractor building a fence around a rectangular garden, you would need to calculate the perimeter to determine how much fencing material you need.

Example Problems

Here are a few example problems to help you practice calculating the perimeter of a rectangle:

  • A rectangle has a length of 8 meters and a breadth of 5 meters. What is its perimeter?
  • A rectangle has a length of 10 meters and a breadth of 7 meters. What is its perimeter?

Solutions

  • Perimeter = 2(8 + 5) Perimeter = 2(13) Perimeter = 26
  • Perimeter = 2(10 + 7) Perimeter = 2(17) Perimeter = 34

Tips and Tricks

Here are a few tips and tricks to help you calculate the perimeter of a rectangle:

  • Make sure to add the length and breadth correctly.
  • Use the formula Perimeter = 2(Length + Breadth) to calculate the perimeter.
  • Practice, practice, practice! The more you practice, the more comfortable you will become with calculating the perimeter of a rectangle.

Common Mistakes

Here are a few common mistakes to avoid when calculating the perimeter of a rectangle:

  • Adding the length and breadth incorrectly.
  • Forgetting to multiply the sum of the length and breadth by 2.
  • Not using the formula Perimeter = 2(Length + Breadth).

Conclusion

Q: What is the perimeter of a rectangle?

A: The perimeter of a rectangle is the total distance around its edges. It is calculated by adding the lengths of all four sides.

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

A: To calculate the perimeter of a rectangle, you need to know its length and breadth. You can use the formula Perimeter = 2(Length + Breadth) to calculate the perimeter.

Q: What if the rectangle has different lengths and breadths on opposite sides?

A: If the rectangle has different lengths and breadths on opposite sides, you can still use the formula Perimeter = 2(Length + Breadth) to calculate the perimeter. However, you need to make sure that you are using the correct values for length and breadth.

Q: Can I use the perimeter formula for other shapes?

A: No, the perimeter formula is specific to rectangles. If you need to calculate the perimeter of a different shape, such as a triangle or a circle, you will need to use a different formula.

Q: How do I calculate the perimeter of a rectangle with a decimal length or breadth?

A: To calculate the perimeter of a rectangle with a decimal length or breadth, you can simply plug in the decimal values into the formula Perimeter = 2(Length + Breadth). For example, if the length is 9.5 meters and the breadth is 6.5 meters, the perimeter would be 2(9.5 + 6.5) = 32 meters.

Q: Can I use the perimeter formula to calculate the area of a rectangle?

A: No, the perimeter formula is used to calculate the perimeter of a rectangle, not its area. If you need to calculate the area of a rectangle, you will need to use a different formula, such as Area = Length x Breadth.

Q: What if I make a mistake when calculating the perimeter of a rectangle?

A: If you make a mistake when calculating the perimeter of a rectangle, you can try re-checking your work or using a calculator to double-check your answer. You can also try breaking down the problem into smaller steps to make it easier to understand.

Q: Can I use the perimeter formula to calculate the perimeter of a rectangle with a negative length or breadth?

A: No, the perimeter formula is not designed to handle negative lengths or breadths. If you are working with a rectangle that has a negative length or breadth, you will need to re-evaluate the problem and use a different approach.

Q: How do I apply the perimeter formula in real-world situations?

A: The perimeter formula can be applied in a variety of real-world situations, such as:

  • Calculating the amount of fencing material needed to surround a rectangular garden or yard.
  • Determining the length of a rectangular border or edging for a garden or yard.
  • Calculating the perimeter of a rectangular room or building to determine the amount of paint or wallpaper needed.

Q: Can I use the perimeter formula to calculate the perimeter of a rectangle with a fractional length or breadth?

A: Yes, you can use the perimeter formula to calculate the perimeter of a rectangle with a fractional length or breadth. For example, if the length is 3/4 meters and the breadth is 1/2 meters, the perimeter would be 2(3/4 + 1/2) = 2(1 1/4 + 1/2) = 2(1 3/4) = 3 1/2 meters.

Q: How do I convert the perimeter of a rectangle from one unit of measurement to another?

A: To convert the perimeter of a rectangle from one unit of measurement to another, you can use a conversion factor. For example, if you need to convert the perimeter from meters to feet, you can use the conversion factor 1 meter = 3.28 feet.