Question

1. A gardener has 1000 plants. 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 this. Also find number of rows & column after doing arrangement. Also justify
why tree plantation is today's need?​

Answer 1

Answer

24 more

Step-by-step explanation:

A gardener has 1000 plants. He wants to plant these in such a way that the number of rows and the number of columns remain the same. Find the minimum number of plants he needs more for this.

Solution:

Let the number of rows be x.

And the number of columns also be x.

Total number of plants = x × x = x2

x2 = 1000 ⇒ x = √1000

Here the remainder is 39

So the square of 31 is less than 1000.

Next number is 32 and 32 square  = 1024

Hence the number to be added = 1024 – 1000 = 24

Thus the minimum number of plants required by him is 24

plantation is in need  because there are tree being cut everday and if it goes this way one day there will be no oxygen and life

Answer 2

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A gardener has 1000 plants. 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 this.

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1000 is not a perfect square.

$\implies \tt{ {31}^{2} < 1000 < {32}^{2} }$

Number to be added:-

$\implies \tt{1024 - 1000} = 24$

$\implies \tt{ 1000 + 24} =10 24$

Hence, Gardener requires 24 more plants.

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