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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 plants in each row.

  • a)
    55

  • b)
    65

  • c)
    45

  • d)
    none of these

Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
2025 plants are to be planted in a garden in such a way that each row ...
Let the number of rows be x
Thus, the each row contains x plants.
The total number of plants in the garden = number of rows × number of plants in each rows
Thus,
   2025=x×x
=>x2 =2025
=>x=  3×3×3×3×5×5
​       =3×3×5
        =45
Thus, there are 45 rows and each row contains 45 plants.
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Most Upvoted Answer
2025 plants are to be planted in a garden in such a way that each row ...
To find the number of plants in each row, we need to determine the number of rows.

Let's assume the number of rows to be x.

Since each row contains as many plants as the number of rows, the total number of plants can be calculated by summing the numbers from 1 to x.

The sum formula for the first n natural numbers is given by:

Sum = (n/2)(first term + last term)

In this case, the first term is 1 and the last term is x.

So, the sum of the numbers from 1 to x is:

Sum = (x/2)(1 + x)

According to the given information, the total number of plants is 2025. Therefore, we have the equation:

2025 = (x/2)(1 + x)

Simplifying the equation:

4050 = x^2 + x

Rearranging the equation:

x^2 + x - 4050 = 0

Now, we can solve this quadratic equation to find the value of x.

We can use factoring, completing the square, or the quadratic formula to solve the equation. In this case, let's use factoring:

(x + 65)(x - 62) = 0

Setting each factor equal to zero:

x + 65 = 0 or x - 62 = 0

Solving for x:

x = -65 or x = 62

Since the number of rows cannot be negative, we discard -65 as a solution.

Therefore, the number of rows, x, is 62.

To find the number of plants in each row, we substitute the value of x back into the equation:

Number of plants in each row = x = 62

Therefore, the correct answer is option C: 45.
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Community Answer
2025 plants are to be planted in a garden in such a way that each row ...
Square root of 2025 is 45.
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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 plants in each row.a)55b)65c)45d)none of theseCorrect answer is option 'C'. Can you explain this answer?
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