Find The Length He Rectangle Whose Area Is 800cm² And Breath Is 20 CmAnswer It Jiyakushwah2011​

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Introduction

In mathematics, finding the length of a rectangle is a fundamental problem that involves understanding the relationship between the area, length, and breadth of a rectangle. In this article, we will provide a step-by-step guide on how to find the length of a rectangle when its area and breadth are given. We will use a real-life example to illustrate the concept and provide a clear understanding of the problem.

Understanding the Problem

The problem states that the area of a rectangle is 800cm² and its breadth is 20cm. We need to find the length of the rectangle. To solve this problem, we will use the formula for the area of a rectangle, which is:

Area = Length x Breadth

We are given the area (800cm²) and the breadth (20cm), and we need to find the length.

Step 1: Write Down the Given Information

  • Area = 800cm²
  • Breadth = 20cm

Step 2: Use the Formula for the Area of a Rectangle

We will use the formula for the area of a rectangle to find the length. The formula is:

Area = Length x Breadth

We will substitute the given values into the formula:

800 = Length x 20

Step 3: Solve for the Length

To solve for the length, we will divide both sides of the equation by 20:

Length = 800 ÷ 20

Length = 40

Therefore, the length of the rectangle is 40cm.

Conclusion

In this article, we provided a step-by-step guide on how to find the length of a rectangle when its area and breadth are given. We used a real-life example to illustrate the concept and provided a clear understanding of the problem. By following the steps outlined in this article, you should be able to find the length of a rectangle with ease.

Real-Life Applications

Finding the length of a rectangle is a common problem in real-life situations. For example, a carpenter may need to find the length of a piece of wood to cut it to the correct size. A builder may need to find the length of a wall to determine the amount of materials needed for a construction project. By understanding how to find the length of a rectangle, you can apply this knowledge to a variety of real-life situations.

Tips and Tricks

Here are some tips and tricks to help you find the length of a rectangle:

  • Make sure to write down the given information clearly.
  • Use the formula for the area of a rectangle to find the length.
  • Divide both sides of the equation by the breadth to solve for the length.
  • Check your answer to make sure it is reasonable.

Common Mistakes

Here are some common mistakes to avoid when finding the length of a rectangle:

  • Not writing down the given information clearly.
  • Not using the formula for the area of a rectangle.
  • Not dividing both sides of the equation by the breadth.
  • Not checking the answer to make sure it is reasonable.

Conclusion

In conclusion, finding the length of a rectangle is a fundamental problem in mathematics that involves understanding the relationship between the area, length, and breadth of a rectangle. By following the steps outlined in this article, you should be able to find the length of a rectangle with ease. Remember to write down the given information clearly, use the formula for the area of a rectangle, and divide both sides of the equation by the breadth to solve for the length.

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

A: The formula for the area of a rectangle is:

Area = Length x Breadth

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

A: To find the length of a rectangle when its area and breadth are given, you can use the formula for the area of a rectangle and divide both sides of the equation by the breadth. For example, if the area is 800cm² and the breadth is 20cm, you can divide both sides of the equation by 20 to find the length:

800 = Length x 20

Length = 800 ÷ 20

Length = 40

Q: What if the breadth is not given? How do I find the length of a rectangle when only the area is given?

A: If the breadth is not given, you cannot find the length of a rectangle using the formula for the area of a rectangle. However, you can use other formulas to find the length, such as the formula for the perimeter of a rectangle:

Perimeter = 2 x (Length + Breadth)

You can rearrange this formula to solve for the length:

Length = (Perimeter / 2) - Breadth

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

A: If the area is not a perfect square, you can use the formula for the area of a rectangle to find the length. For example, if the area is 800cm² and the breadth is 20cm, you can divide both sides of the equation by 20 to find the length:

800 = Length x 20

Length = 800 ÷ 20

Length = 40

Q: Can I use a calculator to find the length of a rectangle?

A: Yes, you can use a calculator to find the length of a rectangle. Simply enter the area and breadth into the calculator and divide the area by the breadth to find the length.

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

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

  • Check your calculations to make sure you made a mistake.
  • Use a calculator to double-check your answer.
  • Go back to the original problem and try again.

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

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

Breadth = Area ÷ Length

Q: What if I need to find the length of a rectangle with a non-standard unit of measurement? How do I convert the units?

A: If you need to find the length of a rectangle with a non-standard unit of measurement, you can convert the units to a standard unit of measurement, such as centimeters or meters. For example, if the area is given in square inches and the breadth is given in inches, you can convert the units to centimeters and then use the formula for the area of a rectangle to find the length.

Q: Can I use the formula for the area of a rectangle to find the length of a rectangle with a negative area?

A: No, you cannot use the formula for the area of a rectangle to find the length of a rectangle with a negative area. The area of a rectangle cannot be negative, so you will need to check your calculations to make sure you made a mistake.

Q: What if I need to find the length of a rectangle with a fractional area? How do I handle the fractions?

A: If you need to find the length of a rectangle with a fractional area, you can use the formula for the area of a rectangle and handle the fractions as you would with any other mathematical operation. For example, if the area is 3/4 cm² and the breadth is 20cm, you can divide both sides of the equation by 20 to find the length:

(3/4) = Length x 20

Length = (3/4) ÷ 20

Length = 3/80

Conclusion

In conclusion, finding the length of a rectangle is a fundamental problem in mathematics that involves understanding the relationship between the area, length, and breadth of a rectangle. By following the steps outlined in this article, you should be able to find the length of a rectangle with ease. Remember to use the formula for the area of a rectangle, divide both sides of the equation by the breadth, and handle fractions as you would with any other mathematical operation.