Question

There are 600 plants. They need to be planted in such 3manner that number of rows and number of columns of plants are the same. How many more plants are needed to complete this arrangement.​

Answer 1

GIVEN :

Total Plants = 600

Numbers Of Rows Is Equal To The Numbers of Columns

Let The Numbers Of Rows = x

Therefore, The Numbers Of Coloumn is Also x

Now,

Total Plants = Number Of Rows × Numbers Of Coloumn

600 = x × x

$600 = x {}^{2}$

$x = \sqrt{600}$

$x \: = 24.49489$

Given That,

He Wants To Plant These In Such A Way That Number Of Rows And Number Of Coloumn Remain Same. We Need To Find The Minimum Numbers Of Plant He Need More For This.

We Need To Find Least Number That Must Be Added To 600 So As To Get A Perfect Square

Now,

$24 { }^{2} < 600 < 25 {}^{2}$

Thus We Add

$25 {}^{2} - 600$

To The Number

So, Number Added =

$= 25 {}^{2} - 600$

$= 625 - 600$

$= 25$

So, The Gardener Needs 25 More Plants.

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