The Width Of A Rectangangular Garden Is 3m And The Perimeter Is 24m.find The Width Considering The Formula .P 21 + 2W .Rewrite The Formula On Terms Of W

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The Width of a Rectangular Garden: A Mathematical Exploration

In this article, we will delve into the world of mathematics and explore the concept of perimeter and width of a rectangular garden. We will use the given information to find the width of the garden using the formula P = 2L + 2W, where P is the perimeter, L is the length, and W is the width.

The formula P = 2L + 2W is a fundamental concept in geometry, where P represents the perimeter of a rectangle, L represents the length, and W represents the width. To find the width of the garden, we need to rearrange the formula in terms of W.

To rearrange the formula in terms of W, we need to isolate W on one side of the equation. We can do this by subtracting 2L from both sides of the equation:

P - 2L = 2W

Next, we can divide both sides of the equation by 2 to get:

(W = (P - 2L) / 2)

However, we are given that the perimeter (P) is 24m and the width (W) is 3m. We need to find the length (L) using the formula.

We can substitute the given values into the formula P = 2L + 2W to find the length (L):

24 = 2L + 2(3)

Simplifying the equation, we get:

24 = 2L + 6

Subtracting 6 from both sides of the equation, we get:

18 = 2L

Dividing both sides of the equation by 2, we get:

L = 9

Now that we have found the length (L), we can substitute the values into the formula (W = (P - 2L) / 2) to find the width (W):

W = (24 - 2(9)) / 2

Simplifying the equation, we get:

W = (24 - 18) / 2

W = 6 / 2

W = 3

In this article, we explored the concept of perimeter and width of a rectangular garden using the formula P = 2L + 2W. We rearranged the formula in terms of W and used the given values to find the width of the garden. We found that the width of the garden is indeed 3m, which is consistent with the given information.

  • When working with formulas, it's essential to isolate the variable you're trying to solve for.
  • Make sure to simplify the equation by combining like terms.
  • Use the given values to substitute into the formula and solve for the unknown variable.

The concept of perimeter and width of a rectangular garden has numerous real-world applications, such as:

  • Architecture: When designing buildings, architects need to consider the perimeter and width of the structure to ensure it meets the required specifications.
  • Engineering: Engineers use the concept of perimeter and width to design and build infrastructure projects, such as roads and bridges.
  • Landscaping: Gardeners and landscapers need to consider the perimeter and width of a garden when designing and maintaining it.

In conclusion, the width of a rectangular garden can be found using the formula P = 2L + 2W. By rearranging the formula in terms of W and using the given values, we can find the width of the garden. This concept has numerous real-world applications and is an essential tool for anyone working in the fields of architecture, engineering, and landscaping.
The Width of a Rectangular Garden: A Q&A Article

In our previous article, we explored the concept of perimeter and width of a rectangular garden using the formula P = 2L + 2W. We rearranged the formula in terms of W and used the given values to find the width of the garden. In this article, we will answer some frequently asked questions related to the concept of perimeter and width of a rectangular garden.

Q: What is the formula for the perimeter of a rectangle? A: The formula for the perimeter of a rectangle is P = 2L + 2W, where P is the perimeter, L is the length, and W is the width.

Q: How do I find the width of a rectangle if I know the perimeter and length? A: To find the width of a rectangle, you can use the formula W = (P - 2L) / 2, where P is the perimeter and L is the length.

Q: What if I don't know the length of the rectangle? Can I still find the width? A: Yes, you can still find the width of the rectangle if you know the perimeter and the width. You can use the formula P = 2L + 2W and rearrange it to solve for L.

Q: How do I find the length of a rectangle if I know the perimeter and width? A: To find the length of a rectangle, you can use the formula L = (P - 2W) / 2, where P is the perimeter and W is the width.

Q: What if I have a rectangle with a perimeter of 20m and a width of 4m? How do I find the length? A: To find the length of the rectangle, you can use the formula L = (P - 2W) / 2. Plugging in the values, you get:

L = (20 - 2(4)) / 2 L = (20 - 8) / 2 L = 12 / 2 L = 6

Q: What if I have a rectangle with a perimeter of 30m and a length of 8m? How do I find the width? A: To find the width of the rectangle, you can use the formula W = (P - 2L) / 2. Plugging in the values, you get:

W = (30 - 2(8)) / 2 W = (30 - 16) / 2 W = 14 / 2 W = 7

Q: Can I use the formula P = 2L + 2W to find the perimeter of a rectangle if I know the length and width? A: Yes, you can use the formula P = 2L + 2W to find the perimeter of a rectangle if you know the length and width.

In this article, we answered some frequently asked questions related to the concept of perimeter and width of a rectangular garden. We provided formulas and examples to help you understand how to find the width and length of a rectangle using the given values. We hope this article has been helpful in clarifying any doubts you may have had.

  • Make sure to use the correct formula to find the width or length of a rectangle.
  • Use the given values to substitute into the formula and solve for the unknown variable.
  • Simplify the equation by combining like terms.

The concept of perimeter and width of a rectangular garden has numerous real-world applications, such as:

  • Architecture: When designing buildings, architects need to consider the perimeter and width of the structure to ensure it meets the required specifications.
  • Engineering: Engineers use the concept of perimeter and width to design and build infrastructure projects, such as roads and bridges.
  • Landscaping: Gardeners and landscapers need to consider the perimeter and width of a garden when designing and maintaining it.

In conclusion, the concept of perimeter and width of a rectangular garden is an essential tool for anyone working in the fields of architecture, engineering, and landscaping. By understanding how to find the width and length of a rectangle using the given values, you can apply this concept to real-world problems and make informed decisions.