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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.
| 3 | 2025 |
| 3 | 675 |
| 3 | 225 |
| 3 | 75 |
| 5 | 25 |
| 1 |
Number of rows × Number of plants in each row = 2025
(Number of rows)2 = 2025
Number of rows = `sqrt2025`
2025 = 3 × 3 × 3 × 3 × 5 × 5
∴ `sqrt2025` = 5 × 3 × 3 = 45
Thus, the number of rows and the number of plants in each row is 45
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