Ankit and Samantha have the same number of plants in their gardens. They both planted them in form of rectangles. Ankit has 108 plants in a row and has 50 rows of plants. Samantha has 18 plants in a row. How many rows of plants does she have?

Answer

To solve the problem, we need to find out how many rows of plants Samantha has in her garden, given that both Ankit and Samantha have the same total number of plants.

### Step-by-Step Solution:

1. **Calculate the total number of plants in Ankit's garden**:
- Ankit has 108 plants in each row and 50 rows.
- Total plants = Number of plants in a row × Number of rows
- Total plants = 108 plants/row × 50 rows = 5400 plants

2. **Set up the equation for Samantha's garden**:
- We know that Samantha has 18 plants in each row.
- Let the number of rows Samantha has be represented by \( r \).
- Total plants in Samantha's garden = Number of plants in a row × Number of rows
- Total plants = 18 plants/row × \( r \) rows

3. **Equate the total number of plants in both gardens**:
- Since both Ankit and Samantha have the same number of plants:
- 5400 plants (Ankit) = 18 plants/row × \( r \) rows

4. **Solve for \( r \)**:
- Rearranging the equation gives us:
- \( r = \frac{5400}{18} \)

5. **Calculate \( r \)**:
- \( r = 300 \)

Thus, Samantha has **300 rows of plants**.