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

x² = 2025

x = √2025

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

x = √(5² × 3² × 3²)

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.

☛ Check: NCERT Solutions Class 8 Maths Chapter 6

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.

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