Question

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.

Answer 1

Let the number of rows be, x.
∴ The number of plants in each rows = x.
$\text{Total many contributed by all the students}=x\times x=x^2$
Given,

$x^2=3\times 3\times 3\times 3\times 5\times 5$
$\Rightarrow x^2=(3\times 3)\times (3\times 3)\times (5\times 5)$
$\Rightarrow x^2=(3\times 3\times 5)\times (3\times 3\times 5)$
$\Rightarrow x^2=45\times 45$
$\Rightarrow x^2=\sqrt{(45\times 45)}$
$\Rightarrow x=45$
∴ The number of rows = 45 and the number of plants in each rows = 45.