Question

Q3. The side of square field is 65m. What is
the length of the fence required all around it?​

Answer 1

Given:

• Side of Square = 65m

To Find:

• Length of the Fence around it?

Formula Used:

$\\ \bigstar{\underline{\boxed{\tt\large{ \green{ Perimeter_{(Square)} } = 4a }}}}$

Where

• a = Side

Solution:

$\\ {\underbrace{\tt\large{ Concept \ Used }}}$

Square is a regular quadrilateral, which has all the four sides of equal length and all four angles are also equal. The angles of the square are at right-angle or equal to 90-degrees. Also, the diagonals of the square are equal and bisect each other at 90 degrees.

A square can also be defined as a rectangle where two opposite sides have equal length.

After substituting values,

$\implies$ P = 4a

$\implies$ P = 4 × 65

$\implies$ P = 260 m

Hence,

• The Required Fence around Square field is 260 m.

$\bigstar{\underline{\tt\pink{ Formula \ related \ to \ Square :- }}}$

$\\ \bullet \: \: {\sf\red{ Perimeter_{(Square)} = 4a }} \\ \\ \bullet \: \: {\sf\large\red{ Area_{(Square)} = a^2 }} \\ \\ \bullet \: \: {\sf\large\purple{ Diagonal_{(Square)} = a \sqrt{ 2 } }}$

Answer 2

Answer:-

● The fence of 260 m will be required to fence a square field of side 65 m.

Explanation:-

Given:-

• Side Of The Square Field = 65 m.

To Find:-

• The length of fence required to all around the field.

Formula Used:-

• Perimeter of a square = 4 × Side.

--------(For inderstanding purpose only)--------

How to solve:-

We know that perimeter of any closed shape is the total length of its boundary, also in this case we want to fence a square field so its length must be equal to the perimeter of the field. And by this we can relate the length of fence and perimeter of the field.

--------(For inderstanding purpose only)--------

Solution:-

The length of the femce required must be equal to the perimeter of the field:-

Let the length of fence be x.

↦ Length of the fence = Perimeter of the field.

↦ x = 4 × Side of the field.

↦ x = 4 × 65 m.

↦ x = 260 m.

Therefore the required length of fence is 260 m.