The Area Of Room Is 261/4 M2. If It's Breadth Is 57/16m. Find It's Length​

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Introduction

When it comes to calculating the area of a room, we often need to find the length or breadth of the room. In this article, we will focus on finding the length of a room given its area and breadth. We will use the formula for the area of a rectangle, which is length multiplied by breadth.

The Formula for the Area of a Rectangle

The formula for the area of a rectangle is:

Area = Length × Breadth

We are given the area of the room as 261/4 m2 and the breadth as 57/16 m. We need to find the length of the room.

Converting the Given Values to a Common Fraction

To make the calculation easier, we can convert the given values to a common fraction. The area of the room is 261/4 m2, which can be written as:

261/4 = 65.25 m2

The breadth of the room is 57/16 m, which can be written as:

57/16 = 3.5625 m

Finding the Length of the Room

Now that we have the area and breadth of the room in decimal form, we can use the formula for the area of a rectangle to find the length of the room.

Length = Area ÷ Breadth

Substituting the values, we get:

Length = 65.25 ÷ 3.5625

Length = 18.375 m

Conclusion

In this article, we used the formula for the area of a rectangle to find the length of a room given its area and breadth. We converted the given values to a common fraction and then used the formula to find the length of the room. The length of the room is 18.375 m.

Real-World Applications

Finding the length of a room is an important task in various fields such as architecture, engineering, and interior design. It is essential to have accurate measurements of a room to design and build furniture, fixtures, and other features.

Tips and Tricks

When finding the length of a room, it is essential to ensure that the measurements are accurate. Here are some tips and tricks to help you find the length of a room:

  • Use a tape measure to measure the breadth of the room.
  • Use a calculator to convert the given values to a common fraction.
  • Use the formula for the area of a rectangle to find the length of the room.
  • Check your calculations to ensure that they are accurate.

Common Mistakes

When finding the length of a room, there are several common mistakes that people make. Here are some common mistakes to avoid:

  • Not converting the given values to a common fraction.
  • Not using the formula for the area of a rectangle.
  • Not checking the calculations for accuracy.
  • Not using a calculator to simplify the calculations.

Conclusion

Finding the length of a room is an essential task in various fields. By using the formula for the area of a rectangle and converting the given values to a common fraction, we can find the length of a room accurately. It is essential to ensure that the measurements are accurate and to check the calculations for accuracy.

Final Answer

The final answer is 18.375 m.

Frequently Asked Questions

Q: What is the formula for the area of a rectangle?

A: The formula for the area of a rectangle is Length × Breadth.

Q: How do I find the length of a room given its area and breadth?

A: To find the length of a room, use the formula for the area of a rectangle and convert the given values to a common fraction.

Q: What are some common mistakes to avoid when finding the length of a room?

A: Some common mistakes to avoid include not converting the given values to a common fraction, not using the formula for the area of a rectangle, and not checking the calculations for accuracy.

Q: How do I ensure that my calculations are accurate?

A: To ensure that your calculations are accurate, use a calculator to simplify the calculations and check your work for errors.

References

Note: The references provided are for educational purposes only and are not intended to be a comprehensive list of resources.

Introduction

In our previous article, we discussed how to find the length of a room given its area and breadth. We used the formula for the area of a rectangle and converted the given values to a common fraction to find the length of the room. In this article, we will answer some frequently asked questions related to finding the length of a room.

Q&A

Q: What is the formula for the area of a rectangle?

A: The formula for the area of a rectangle is Length × Breadth.

Q: How do I find the length of a room given its area and breadth?

A: To find the length of a room, use the formula for the area of a rectangle and convert the given values to a common fraction.

Q: What are some common mistakes to avoid when finding the length of a room?

A: Some common mistakes to avoid include not converting the given values to a common fraction, not using the formula for the area of a rectangle, and not checking the calculations for accuracy.

Q: How do I ensure that my calculations are accurate?

A: To ensure that your calculations are accurate, use a calculator to simplify the calculations and check your work for errors.

Q: What if the area and breadth of the room are given in different units?

A: If the area and breadth of the room are given in different units, you will need to convert them to a common unit before using the formula for the area of a rectangle.

Q: Can I use the formula for the area of a rectangle to find the breadth of a room?

A: Yes, you can use the formula for the area of a rectangle to find the breadth of a room. Simply rearrange the formula to solve for breadth.

Q: What if the length of the room is not a whole number?

A: If the length of the room is not a whole number, you can use a calculator to find the decimal equivalent.

Q: Can I use the formula for the area of a rectangle to find the area of a room given its length and breadth?

A: Yes, you can use the formula for the area of a rectangle to find the area of a room given its length and breadth. Simply multiply the length and breadth together.

Q: What if I make a mistake in my calculations?

A: If you make a mistake in your calculations, you can start again from the beginning and double-check your work.

Tips and Tricks

  • Always use a calculator to simplify calculations.
  • Check your work for errors.
  • Use a common fraction to convert given values.
  • Use the formula for the area of a rectangle to find the length or breadth of a room.

Common Mistakes

  • Not converting given values to a common fraction.
  • Not using the formula for the area of a rectangle.
  • Not checking calculations for accuracy.
  • Not using a calculator to simplify calculations.

Conclusion

Finding the length of a room is an essential task in various fields. By using the formula for the area of a rectangle and converting given values to a common fraction, we can find the length of a room accurately. It is essential to ensure that the measurements are accurate and to check the calculations for accuracy.

Final Answer

The final answer is 18.375 m.

Frequently Asked Questions

Q: What is the formula for the of a rectangle?

A: The formula for the area of a rectangle is Length × Breadth.

Q: How do I find the length of a room given its area and breadth?

A: To find the length of a room, use the formula for the area of a rectangle and convert the given values to a common fraction.

Q: What are some common mistakes to avoid when finding the length of a room?

A: Some common mistakes to avoid include not converting the given values to a common fraction, not using the formula for the area of a rectangle, and not checking the calculations for accuracy.

Q: How do I ensure that my calculations are accurate?

A: To ensure that your calculations are accurate, use a calculator to simplify the calculations and check your work for errors.

References

Note: The references provided are for educational purposes only and are not intended to be a comprehensive list of resources.