If the length of a rectangular plot is 4 cm and its perimeter is 14 cm. Find the breadth (in cm) of the rectangular plot.

Answer

To find the breadth of the rectangular plot, we can follow these steps:

### Step 1: Understand the given information
We are given:
- Length of the rectangular plot (L) = 4 cm
- Perimeter (P) = 14 cm

### Step 2: Recall the formula for the perimeter of a rectangle
The formula for the perimeter of a rectangle is:
\[ P = 2 \times (L + B) \]
where \( L \) is the length and \( B \) is the breadth.

### Step 3: Substitute the known values into the perimeter formula
Substituting the known values into the formula:
\[ 14 = 2 \times (4 + B) \]

### Step 4: Simplify the equation
First, divide both sides of the equation by 2:
\[ 7 = 4 + B \]

### Step 5: Solve for the breadth (B)
Now, isolate \( B \) by subtracting 4 from both sides:
\[ B = 7 - 4 \]
\[ B = 3 \]

### Step 6: State the final answer
The breadth of the rectangular plot is \( 3 \) cm.

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