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33. A gardener has 1681 plants. He wants to plant these 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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33. A gardener has 1681 plants. He wants to plant these in such a way ...
Number of Rows and Plants in Each Row
To find the number of rows and the number of plants in each row, we need to consider the given information and follow a systematic approach. Let's break down the problem into smaller steps:
Step 1: Calculate the square root of 1681
The square root of 1681 is 41. Therefore, we know that the maximum number of rows or plants in each row cannot exceed 41.
Step 2: Start with the maximum number of rows
Since the number of plants should be equal to the number of rows, we start by assuming there are 41 rows with 41 plants in each row.
Step 3: Calculate the total number of plants
To check if our assumption is correct, we multiply the number of rows (41) by the number of plants in each row (41). The result is 1681, which matches the given total number of plants. Therefore, our assumption is correct in this case.
Step 4: Reduce the number of rows and calculate the number of plants in each row
Now, let's consider if we reduce the number of rows. If we decrease the number of rows by 1, we need to increase the number of plants in each row by 1 to maintain the total number of plants (1681).
Step 5: Find the optimal solution
To find the optimal solution, we need to continue reducing the number of rows and increasing the number of plants in each row until we reach a point where further adjustments are not possible while maintaining the total number of plants.
By following this approach, we find that the optimal solution is 41 rows with 41 plants in each row. This means that the gardener should plant 41 rows, and each row should contain 41 plants.
The solution can be summarized as follows:
- Number of rows: 41
- Number of plants in each row: 41
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33. A gardener has 1681 plants. He wants to plant these 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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33. A gardener has 1681 plants. He wants to plant these 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.? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about 33. A gardener has 1681 plants. He wants to plant these 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.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 33. A gardener has 1681 plants. He wants to plant these 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.?.
33. A gardener has 1681 plants. He wants to plant these 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.? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about 33. A gardener has 1681 plants. He wants to plant these 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.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 33. A gardener has 1681 plants. He wants to plant these 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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