2025 plants are to be planted in a garden in such a way that each row contains as many plants as the number of rows. Find the number of rows and the number of plants in each row.

Options

A. `44`
B. `46`
C. `45`
D. `40`

Explanation

To solve the problem of planting 2025 plants in a garden such that the number of rows equals the number of plants in each row, we can follow these steps:

### Step 1: Define the Variables
Let the number of rows be \( N \). Since each row contains as many plants as the number of rows, the number of plants in each row is also \( N \).

### Step 2: Set Up the Equation
The total number of plants can be expressed as:
\[ \text{Total plants} = \text{Number of rows} \times \text{Number of plants in each row} = N \times N = N^2 \]
Given that the total number of plants is 2025, we can write:
\[ N^2 = 2025 \]

### Step 3: Solve for \( N \)
To find \( N \), we need to take the square root of both sides:
\[ N = \sqrt{2025} \]

### Step 4: Calculate the Square Root
Now we calculate \( \sqrt{2025} \):
\[ \sqrt{2025} = 45 \]
Thus, \( N = 45 \).

### Step 5: Conclusion
The number of rows is \( 45 \) and the number of plants in each row is also \( 45 \).

### Final Answer
- Number of rows: 45
- Number of plants in each row: 45