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# Question 15

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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Let the number of rows be, x.

∴ the number of plants in each rows = x.

Total many contributed by all the students = x×x = x^{2}

\begin{aligned} &\text { Given, }\\ &x^{2}=\operatorname{Rs} .2025 \end{aligned}

\begin{array}{l} x^{2}=3 \times 3 \times 3 \times 3 \times 5 \times 5 \\ \Rightarrow x^{2}=(3 \times 3) \times(3 \times 3) \times(5 \times 5) \end{array}

\begin{array}{l} \Rightarrow x^{2}=(3 \times 3 \times 5) \times(3 \times 3 \times 5) \\ \Rightarrow \mathrm{x}^{2}=45 \times 45 \\ \Rightarrow \mathrm{x}=\sqrt{45 \times 45} \end{array}

⇒ x = 45

∴ The number of rows = 45 and the number of plants in each rows = 45.

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