#### Question

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

It is given that in the garden, each row contains as many plants as the number of rows.

Hence,

Number of rows = Number of plants in each row

Total number of plants = Number of rows × Number of plants in each row

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

(Number of rows)^{2} = 2025

Number of rows = `sqrt2025`

2025 = 5 x 5 x 3 x 3 x 3 x 3

∴ `sqrt2025` = 5 x 3 x 3 = 45

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

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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. Concept: Square Roots - Finding Square Roots.