Question

Student of a school wish to arrange their 3609 plants in rows to
From a perfect square. They find that in doing so,9plants are left out. Find the number of row and the number of plants in front row.

Answer 1

number of rows = number of plants...

9 plants are left hence 3609 - 9 = 3600

square root of 3600 , we have to find the square root of that no. through long division method.

√3600 = 60

9 plants are left....

hence the number of rows = number of plants = 60

Answer 2

Total plants = 3609.
Plants arranged = 3609 - 9 = 3600.
They have formed a perfect square so number of plants in rows and columns will be same.
Let the number of plants in each row or column be x.
Area of square = no. of plants arranged in the square = x^2.
Total plants = Plants in square + Left out plants
= x^2 + 9.
So, x^ 2 + 9 = 3609.
=> x^2 = 3609 - 9 = 3600.
=> x = ✓3600 = 60.

So, there are 60 plants in each row.

No. of rows = Total plants (arranged in square) ÷ Plants in each row
= 3600 ÷ 60 = 60 rows.

So, there are 60 rows, each having 60 plants.


Hope it helps.
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