If the perimeter of a rectangular piece of land is 424 m and its breadth is 85 m , find its length .

Options

A. `=147` m.
B. `=129` m.
C. `=127` m.
D. `=137` m.

Answer

To find the length of the rectangular piece of land given its perimeter and breadth, 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:
\[ P = 2 \times (\text{length} + \text{breadth}) \]

2. **Substitute the known values into the formula**:
We know the perimeter (P) is 424 m and the breadth (B) is 85 m. We can substitute these values into the formula:
\[ 424 = 2 \times (\text{length} + 85) \]

3. **Simplify the equation**:
Divide both sides of the equation by 2 to simplify:
\[ 212 = \text{length} + 85 \]

4. **Isolate the length**:
To find the length, subtract 85 from both sides:
\[ \text{length} = 212 - 85 \]

5. **Calculate the length**:
Now, perform the subtraction:
\[ \text{length} = 127 \, \text{m} \]

### Final Answer:
The length of the rectangular piece of land is **127 meters**.

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