Question

A gardener has 1009 plantsHe wants to plant these in such a way that the number of rows and the number of column should remain the same. Find the minimum number of plants he need more for these.​

Answer 1

Explanation:

If the number of rows and number of columns are same, the figure that is formed is a square.

We know that the area of a square is side x side.

The number of plants in a row must be equal to the number of plants in a column.

So we must find the closest perfect square near and greater than the total number of plants, that is, 1009.

$31 {}^{2} = 961$

$32 {}^{2} = 1024$

We can see that the closest perfect square greater than 1009 is 1024, which is the square of 32.

Hence, there are 32 rows and 32 columns that have 32 plants each.

However, we need to find the number of extra plants to make a perfect square.

$1024 - 1009 = 15$

Hence, 15 plants must be added such that the number of columns and number of rows remain the same.

Answer: 15

I hope this helps. :D

Answer 2

Answer:

24 more plants

Step-by-step explanation:

Here, plants = 1000

Since the remainder is 39.

Therefore 31^2<1000

Next perfect square number 32^2=1024

Hence, number to be added

= 1024 – 1000 = 24

\therefore1000+24=1024

Hence, the gardener required 24 more plants.

hope it helped !