Question

9.
A farmer has 1500 mango saplings. He wants to plant these in such a way that the number of rows
and the number of columns remain same. Find the minimum number of plants he needs more for
the same.​

Answer 1

Answer:

the nearest perfect square is 1521(39²)

so, 21 plants must be needed to make same no:of rows and columns

Answer 2

The given question is A farmer has 1500 mango saplings. He wants to plant these in such a way that the number of rows and the number of columns remain the same.

we have to find the minimum number of plants he needs more for the same.

We have to arrange plants in equal rows and columns.

let the number of rows and columns be x.

Therefore, the area will be x².

where Area is the number of saplings.

If the value is multiplied by the same value then it is a square value.

which means we have to find a square value.

but 1500 is not a square value.

${x}^{2} = 1500 \\ \sqrt{x} = \sqrt{1500}$

The square root of 1500 is not possible, because it is not a perfect square

The nearest square of more than 1500 is to be found.

the question is we have to find more plants needed to plant.

so the square number greater than 1500 is 1521.

let's subtract the value to get the number of samplings needed

$1521 - 1500 = 21$

Therefore, the final answer is the farmer needs 21 more samplings to plant in the equal number of rows and columns

# spj2

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