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 plants in each row.

The correct answer is: 45

GIVEN-
Total number of plants in the garden = 2025
Number of rows = Number of plants in each row
TO FIND-
Number of plants in each row
SOLUTION-
Let the number of rows be x
Number of rows = Number of plants in each row ................ (Given)
∴ Number of rows = Number of plants in each row = x .......... (Equation i)
Now, we know that-
Total number of plants in the garden = Number of rows * Number of plants in each row
∴                                                   2025 = x * x ........................ (From given information & Equation i)
∴                                                   2025 = x²
∴                           3 × 3 × 3 × 3 × 5 × 5 = x² .......................... (Using prime factorization)
∴                                              3 × 3 × 5 = x ........................... (Taking square root both the sides)
∴                                                        45 = x
Thus, there are 45 rows, and each row contains 45 plants.
FINAL ANSWER-
Option 'a' i.e. '45' is the correct answer to the given question.