How to find a breadth when perimeter of a rectangle and length is give...
Suppose, in a rectangle length = 10m, Perimeter =30m.
Find the breadth.
Solution =
Perimeter of rectangle = 2(length + breadth)
30 =2(10 +breadth)
30 = 20 +2 breadth
30 - 20 =2 breadth
10/2 = breadth
5m =breadth
Breadth is 5 metre.
How to find a breadth when perimeter of a rectangle and length is give...
How to find the breadth of a rectangle when the perimeter and length are given?
To find the breadth of a rectangle when the perimeter and length are given, you can follow these steps:
Step 1: Understand the problem
First, let's understand the problem. We are given the perimeter and length of a rectangle, and we need to find the breadth. The perimeter is the sum of all the sides of the rectangle, and the length is one of the sides.
Step 2: Identify the formulas
To solve this problem, we need to use the formulas for the perimeter and area of a rectangle. The perimeter of a rectangle is given by the formula: P = 2 * (length + breadth). The area of a rectangle is given by the formula: A = length * breadth.
Step 3: Use the given information
Let's assume the length of the rectangle is L and the breadth is B. We are given the perimeter (P) and length (L). Therefore, we can write the equation for the perimeter as: P = 2 * (L + B).
Step 4: Solve for breadth
To find the breadth, we need to rearrange the equation. Let's solve the equation for B.
P = 2 * (L + B)
Divide both sides by 2:
P/2 = L + B
Subtract L from both sides:
P/2 - L = B
So, the equation for the breadth is B = P/2 - L.
Step 5: Calculate the breadth
Now that we have the equation for the breadth, we can substitute the values of the perimeter and length into the equation to find the breadth.
For example, if the perimeter is 20 units and the length is 6 units, we can substitute these values into the equation:
B = 20/2 - 6
B = 10 - 6
B = 4
Therefore, the breadth of the rectangle is 4 units.
Summary:
To find the breadth of a rectangle when the perimeter and length are given, you can use the formula for the perimeter and rearrange it to solve for the breadth. By substituting the given values into the equation, you can calculate the breadth of the rectangle.
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