Question

area of a square field is 11025m2,the lenght of the side field is

Answer 1

Required Answer :

The length of the side of the square field = 105 m

Given :

• Area of square field = 11025 m²

To find :

• The length of the side of the square field

Solution :

In this question, we are provided with the area of a square field i.e., 11025 m² and we need to calculate the length of the side of the square field. So, for calculating that we will use the formula of area of square.

Formula of area of square :

• Area of square = side²

Substituting the given values :

⇒ 11025 = side²

⇒ Taking square root on both the sides :

⇒ √11052 = side

⇒ √(105 × 105) = side

⇒ ± 105 = side

As we know, the side of square field cannot be negative. So, the negative sign will be rejected.

⇒ ± 105 Reject - ve = side

⇒ 105 = side

Therefore,

• The length of the side of the square field = 105 m

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Knowledge Bytes :

• Perimeter of square = 4 × side
• Diagonal of square = √2a
• Perimeter of rectangle = 2(l + b)
• Diagonal of rectangle = √l² + √b²

Answer 2

$\mathfrak{Solution-:}$

Given-:

• Area of a Square field = 11025m²

To Find-:

• Side of the square field = ?

Using Formula-:

• Area of a Square = (Side)²

Calculation-:

Area of a Square = (Side)²

$\sf \: 11025 = (Side)² \\ \\ \sf \: Side = \: \sqrt{11025} \\ \\ \sf \:Side \: = \: \sqrt{105 \times 105} \\ \\ \boxed{ \sf \: Side \: = \: 105 \: m}$

Hence, the side of the square field is 105m.

$\rule{200pt}{4pt}$

☛ MORE TO KNOW

★ Perimeter-: Perimeter of a closed figure is the sum of lengths of all the sides.

↦Rectangle

Perimeter of a Rectangle = 2 (Length + Breadth)

↦Square

Perimeter of a Square = 4 × Side

↦Equilateral Triangle

Perimeter of a Equilateral Triangle = 3 × Side of a Triangle

______________________________

★ Area-: Area of a closed figure is the amount of region or plane enclosed by it.

↦Rectangle

Area of a Rectangle = Length × Breadth

↦Square

Area of a Square = (Side)²

↦Irregular Figure-: Area of Irregular figures is calculated using following steps:

Step 1: Count full squares, half squares and more than half of squares covered by the figure separately.

Step 2: Area covered by a full square and more than half of a square is counted as 1 sq. unit.

Step 3: Area covered by half of a square is counted as 1/2 sq. unit.

Step 4: Portions that covers less than half of a square are ignored.