The perimeter of a rectangular plot is 52m and its length is 17m. Find its
breadth

Answer

To find the breadth of a rectangular plot given its perimeter and length, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the formula for the perimeter of a rectangle**:
The formula for the perimeter (P) of a rectangle is given by:
\[ P = 2 \times (L + B) \]
where \(L\) is the length and \(B\) is the breadth.

2. **Identify the given values**:
From the question, we know:
- The perimeter \(P = 52 \, \text{m}\)
- The length \(L = 17 \, \text{m}\)

3. **Set up the equation using the perimeter formula**:
Substitute the known values into the perimeter formula:
\[ 52 = 2 \times (17 + B) \]

4. **Simplify the equation**:
Start by dividing both sides of the equation by 2 to isolate the expression in the parentheses:
\[ 26 = 17 + B \]

5. **Solve for the breadth (B)**:
To find \(B\), subtract 17 from both sides:
\[ B = 26 - 17 \]
\[ B = 9 \, \text{m} \]

6. **Conclusion**:
The breadth of the rectangular plot is \(9 \, \text{m}\).