The length and breadth of a rectangle are lm and 0.5 m, respectively, find the value of it’s perimeter. Is perimeter a Scalar or vector?

Options

A. 2.5 m, scalar
B. 1.5 m, vector
C. 3 m, scalar
D. 3 m, vector

Answer

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

### Step-by-Step Solution:

1. **Identify the dimensions of the rectangle**:
- Length (L) = 1 m
- Breadth (B) = 0.5 m

2. **Use the formula for the perimeter of a rectangle**:
The formula for the perimeter (P) of a rectangle is given by:
\[ P = 2 \times (L + B) \]

3. **Substitute the values into the formula**:
Substitute the known values of length and breadth into the perimeter formula:
\[ P = 2 \times (1 \, \text{m} + 0.5 \, \text{m}) \]

4. **Calculate the sum inside the parentheses**:
\[ P = 2 \times (1.5 \, \text{m}) \]

5. **Multiply to find the perimeter**:
\[ P = 3 \, \text{m} \]

6. **Determine whether perimeter is a scalar or vector**:
The perimeter is a measure of distance and does not have a direction associated with it. Therefore, it is a scalar quantity.

### Final Answer:
- The perimeter of the rectangle is **3 m**.
- The perimeter is a **scalar quantity**.