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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.
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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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