What Is The Length Of A Rectangle If The Perimeter Is 54cm Snd The Breath 7cm, Find The Length
**What is the Length of a Rectangle if the Perimeter is 54cm and the Breath is 7cm, Find the Length** ===========================================================
Introduction
In geometry, a rectangle is a four-sided shape with four right angles and opposite sides of equal length. The perimeter of a rectangle is the total distance around its edges, while the length and breadth are the two dimensions that define its size. In this article, we will explore how to find the length of a rectangle when the perimeter and breadth are given.
Understanding the Problem
The problem states that the perimeter of a rectangle is 54cm and the breadth is 7cm. We need to find the length of the rectangle. To solve this problem, we can use the formula for the perimeter of a rectangle, which is:
Perimeter = 2(Length + Breadth)
We are given the perimeter (54cm) and the breadth (7cm), so we can substitute these values into the formula and solve for the length.
Step-by-Step Solution
Step 1: Write Down the Formula
The formula for the perimeter of a rectangle is:
Perimeter = 2(Length + Breadth)
Step 2: Substitute the Given Values
We are given the perimeter (54cm) and the breadth (7cm), so we can substitute these values into the formula:
54 = 2(Length + 7)
Step 3: Simplify the Equation
To simplify the equation, we can divide both sides by 2:
27 = Length + 7
Step 4: Solve for the Length
To solve for the length, we can subtract 7 from both sides of the equation:
Length = 27 - 7 Length = 20
Conclusion
In this article, we have shown how to find the length of a rectangle when the perimeter and breadth are given. By using the formula for the perimeter of a rectangle and substituting the given values, we can solve for the length. In this case, the length of the rectangle is 20cm.
Frequently Asked Questions
Q: What is the formula for the perimeter of a rectangle?
A: The formula for the perimeter of a rectangle is:
Perimeter = 2(Length + Breadth)
Q: How do I find the length of a rectangle when the perimeter and breadth are given?
A: To find the length of a rectangle when the perimeter and breadth are given, you can use the formula for the perimeter of a rectangle and substitute the given values.
Q: What is the length of a rectangle if the perimeter is 54cm and the breadth is 7cm?
A: The length of a rectangle if the perimeter is 54cm and the breadth is 7cm is 20cm.
Q: Can I use this method to find the length of a rectangle if the perimeter and breadth are not given?
A: No, this method requires the perimeter and breadth to be given in order to find the length of the rectangle.
Q: What if the breadth is not given, but the length is?
A: If the breadth is not given, but the length is, you can use the formula for the perimeter of a rectangle and substitute the given values to find the breadth.
Example Problems
Problem 1:
Find the length of a rectangle if the perimeter is 36cm and the breadth is 5cm.
Solution:
Using the formula for the perimeter of a rectangle, we can substitute the given values:
36 = 2(Length + 5)
Simplifying the equation, we get:
18 = Length + 5
Solving for the length, we get:
Length = 18 - 5 Length = 13
Problem 2:
Find the breadth of a rectangle if the perimeter is 48cm and the length is 10cm.
Solution:
Using the formula for the perimeter of a rectangle, we can substitute the given values:
48 = 2(10 + Breadth)
Simplifying the equation, we get:
24 = 10 + Breadth
Solving for the breadth, we get:
Breadth = 24 - 10 Breadth = 14
Conclusion
In this article, we have shown how to find the length of a rectangle when the perimeter and breadth are given. We have also provided example problems and solutions to help illustrate the concept. By using the formula for the perimeter of a rectangle and substituting the given values, we can solve for the length.