Question

2025 plants are to be planted in a garden in such a way that each row contains as mamy plants as the number of rows find the number of plants in each row

Answer 1

I hope it will help you

Let the number of rows be x.

Then, number of plants in each row =x.

∴ Number of plants in x rows =x×x=x2

∴ x2=2025
⇒x=√2025

The prime factorisation of 2025 is

3 | 2025
3 | 675
3 | 225
3 | 75
5 | 25
5 | 5
| 1
2025=3×3×3×3×5×5

Let x= √2025

√2025=√3×√3×√3×√3×√5×√5

x=3×3×5

⇒x=45

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

Pls mark as a brainlist

Answer 2

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2025 plants are planted in a garden, no of plant in a row is equal to the no of palnt in arow find the plant number

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Let X be the number of rows and X be the number of plants in each row.

Total no. of plants:- ?

$\implies \sf{x \times x = {x}^{2} }$

$\implies \sf{ {x}^{2} = 2025 }$

$\sf{ {x}^{2} = 3 \times 3 \times 3 \times 3 \times 5 \times 5 }$

$\implies \sf{ {x} = \sqrt{2025} }$

$\implies \sf{ {x} = 3 \times 3 \times 5 }$

$\implies \sf{ {x} = 45}$

Number of rows and columns is 45.