If The Area Of A Rectangle Is 2700m² And Length Is 60m Find The Breadth​

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Understanding the Problem

In this problem, we are given the area of a rectangle and its length. We need to find the breadth of the rectangle. The area of a rectangle is given by the formula: Area = Length × Breadth. We can use this formula to find the breadth of the rectangle.

Given Values

  • Area of the rectangle = 2700 m²
  • Length of the rectangle = 60 m

Formula for Area of a Rectangle

The formula for the area of a rectangle is:

Area = Length × Breadth

We can rearrange this formula to solve for the breadth:

Breadth = Area ÷ Length

Calculating the Breadth

Now, we can plug in the given values into the formula:

Breadth = 2700 ÷ 60

To calculate this, we can divide 2700 by 60:

Breadth = 45

Conclusion

Therefore, the breadth of the rectangle is 45 m.

Why is this Important?

Understanding how to find the breadth of a rectangle is an important skill in mathematics. It can be used in a variety of real-world applications, such as:

  • Architecture: When designing buildings, architects need to know the dimensions of the rooms and spaces they are creating.
  • Engineering: Engineers use mathematical formulas to design and build structures, such as bridges and buildings.
  • Science: Scientists use mathematical formulas to understand and describe the natural world.

Real-World Examples

Here are a few real-world examples of how finding the breadth of a rectangle is used:

  • Furniture Design: When designing furniture, such as tables and chairs, manufacturers need to know the dimensions of the pieces they are creating.
  • Landscaping: When designing gardens and landscapes, landscapers need to know the dimensions of the spaces they are creating.
  • Construction: When building houses and buildings, contractors need to know the dimensions of the spaces they are creating.

Tips and Tricks

Here are a few tips and tricks for finding the breadth of a rectangle:

  • Use the formula: The formula for the area of a rectangle is Area = Length × Breadth. Use this formula to solve for the breadth.
  • Plug in the values: Once you have the formula, plug in the given values to solve for the breadth.
  • Check your work: Double-check your work to make sure you have the correct answer.

Common Mistakes

Here are a few common mistakes to avoid when finding the breadth of a rectangle:

  • Forgetting to use the formula: Make sure to use the formula for the area of a rectangle to solve for the breadth.
  • Plugging in the wrong values: Double-check that you are plugging in the correct values into the formula.
  • Not checking your work: Make sure to double-check your work to make sure you have the correct answer.

Conclusion

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

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

Q: How do I find the breadth of a rectangle if I know the area and length?

A: To find the breadth of a rectangle, you can use the formula: Breadth = Area ÷ Length.

Q: What if I don't know the length of the rectangle? Can I still find the breadth?

A: No, you cannot find the breadth of a rectangle if you don't know the length. The formula for the area of a rectangle requires both the length and breadth to be known.

Q: Can I use the formula to find the length of a rectangle if I know the area and breadth?

A: Yes, you can use the formula to find the length of a rectangle if you know the area and breadth. The formula would be: Length = Area ÷ Breadth.

Q: What if the area of the rectangle is not a perfect square? How do I find the breadth?

A: If the area of the rectangle is not a perfect square, you can still find the breadth by using the formula: Breadth = Area ÷ Length. However, you will need to use a calculator or a computer to perform the division.

Q: Can I use the formula to find the breadth of a rectangle if the length is a fraction?

A: Yes, you can use the formula to find the breadth of a rectangle if the length is a fraction. However, you will need to use a calculator or a computer to perform the division.

Q: What if I make a mistake when finding the breadth of a rectangle? How do I correct it?

A: If you make a mistake when finding the breadth of a rectangle, you can try the following:

  • Recheck your work: Double-check your calculations to make sure you made a mistake.
  • Use a calculator or computer: Use a calculator or computer to perform the division and find the correct answer.
  • Ask for help: Ask a teacher, tutor, or classmate for help if you are still having trouble.

Q: Can I use the formula to find the breadth of a rectangle if the area is a negative number?

A: No, you cannot use the formula to find the breadth of a rectangle if the area is a negative number. The area of a rectangle cannot be a negative number.

Q: What if I need to find the breadth of a rectangle with a very large area? How do I do it?

A: If you need to find the breadth of a rectangle with a very large area, you can use a calculator or computer to perform the division. You can also use a formula to find the breadth, such as: Breadth = √(Area ÷ Length).

Q: Can I use the formula to find the breadth of a rectangle if the length is a decimal?

A: Yes, you can use the formula to find the breadth of a rectangle if the length is a decimal. However, you will need to use a calculator or computer to perform the division.

Conclusion

In conclusion, finding the breadth of a rectangle is an important skill in mathematics. By using the formula for the area of a rectangle and plugging in the given values, we can solve for the breadth of the rectangle. Remember to check your work and avoid common mistakes to ensure that you have the correct answer. If you have any further questions or need help with a specific problem, don't hesitate to ask.