The length of a road is one kilo metre. The number of plants required for plantation at a gap of 20 metres in both sides of the road is

Options

A. 102
B. 100
C. 51
D. 50

Answer

To solve the problem of how many plants are required for plantation at a gap of 20 meters on both sides of a 1-kilometer road, we can follow these steps:

### Step-by-Step Solution:

1. **Convert the length of the road from kilometers to meters**:
- The length of the road is given as 1 kilometer.
- We know that 1 kilometer = 1000 meters.
- Therefore, the length of the road is 1000 meters.

2. **Determine the number of gaps for planting on one side of the road**:
- We need to plant trees at a gap of 20 meters.
- The first tree can be planted at the starting point (0 meters).
- The subsequent trees will be planted at 20 meters, 40 meters, 60 meters, and so on.
- To find out how many trees can be planted, we can use the formula:
\[ \text{Number of gaps} = \frac{\text{Length of the road}}{\text{Gap between trees}} = \frac{1000 \text{ meters}}{20 \text{ meters}} = 50 \]

3. **Include the first tree**:
- Since we start planting the first tree at the beginning (0 meters), we need to add 1 to the number of gaps calculated.
- Thus, the total number of trees on one side of the road is:
\[ \text{Total trees on one side} = 50 + 1 = 51 \]

4. **Calculate the total number of trees on both sides of the road**:
- Since there are trees planted on both sides of the road, we multiply the number of trees on one side by 2:
\[ \text{Total trees on both sides} = 51 \times 2 = 102 \]

### Final Answer:
The total number of plants required for plantation at a gap of 20 meters on both sides of the road is **102 plants**.