# 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

**Solution:**

Each row contains as many plants as the number of rows i.e. the number of rows equal to the number of plants in each row.

Thus, the total number of plants to be planted is equal to the product of the number of plants and number of rows.

Let the number of rows be x

The number of plants in each row is also x

The total number of plants = 2025

(Number of rows) × (Number of plants in each row) = 2025

x × x = 2025

x^{2} = 2025

x = √2025

x = √(5 × 5 × 3 × 3 × 3 × 3) [By prime factorising 2025]

x = √(5^{2} × 3^{2} × 3^{2})

x = √(5 × 3 × 3)^{2}

x = 5 × 3 × 3 = 45

Therefore, the number of rows and the number of plants in each row is 45.

**Video Solution:**

## 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

### NCERT Solutions for Class 8 Maths - Chapter 6 Exercise 6.3 Question 8

**Summary:**

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. The number of rows and the number of plants in each row is 45.