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Squares and Square Roots | Exercise 6.3

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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subject-cta

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.

Looking to do well in your science exam ? Learn from an expert tutor. Book a free class!

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.

Our top 5% students will be awarded a special scholarship to Lido.

subject-cta
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