Question

1. Area of a square plot is 2025 sq. m. Find the side of the square plot.
2. The square plot has a area of 4356 sq. m. Find the dimensions of the plot.
3. Area of a square plot is 7921 sq. m. Find the side of the square plot.
4. Find the side of the square plot if area of a square plot is 4225 sq. m
5. There are 3481 students in a collage. Teacher wants them to stand in rows
and columns such that the number of rows is equal to the number of
columns. Find the number of rows.

Answer 1

Below are the Solutions of the Questions asked. Please Note that the Number which is assigned before the solution is the solution of that particular question having the number.

1) Area = 2025 Sq. m

We are told to find the side.

Area of Square = side * side

2025 = side²

√2025 = side

45 = side

∴ The side of the square plot is 45m.

_____________________________

2) Area = 4356

We are told to find the dimension (in the form of side * side)

Area = 4356 sq. m

Area of Square = Side * Side

√4356 =  side

66 = side.

Therefore, The dimension is 66 * 66 sq. m

______________________________

3) Area = 7921 sq. m

Area of Square = Side * Side

√7921 = Side

89 = Side.

Therefore, The Side is 89 m.

______________________________

4) Area = 4225

Area of Square = Side * Side

√4225 = Side

65 = Side

∴ The Side is 65 m

____________________________

5) Total Number of Students = 3481

Let the number of rows and columns be x²

3481 = x²

√3481 = x

x = 59

∴ Number of rows is 59.  

Answer 2

1) Area = 2025m²

Required to find the side.

Area of square = side×side

s²=2025

s=√2025

s=45

∴ The side of the square plot is 45m.

2) Area = 4356

Required to find the dimension (in the form of side×side)

Area of square = Side×side

s=√4356

s=66

Therefore, The dimension is 66×66 sq. m

3) Area = 7921m²

Area of square = Side×side

s=√7921

s=89

Therefore, the side is 89 m.

4) Given area = 4225

Area of Square = Side×side

s=√4225

s=65

Therefore, the side is 65m.

5) Given total number of students = 3481

Let the total number of rows and columns be x²

x²=3481

x=√3481

x = 59

Therefore the total number of rows is 59.