Question

A square field has an area of 729 2 . Calculate the perimeter of the field.

Answer 1

Answer:

Appropriate Question :-

• A square field has an area of 729 m². Calculate the perimeter of the field.

Given :-

• A square field has an area of 729 m².

To Find :-

• What is the perimeter of the field.

Formula Used :-

$\clubsuit$ Area of Square Formula :

$\mapsto \sf\boxed{\bold{\pink{Area_{(Square)} =\: (Side)^2}}}$

$\clubsuit$ Perimeter of Square Formula :

$\mapsto \sf\boxed{\bold{\pink{Perimeter_{(Square)} =\: 4a}}}$

where,

• a = Side of Square

Solution :-

First, we have to find the side of square :

Given :

• Area of Square = 729 m²

According to the question by using the formula we get,

$\implies \sf (Side)^2 =\: 729$

$\implies \sf Side =\: \sqrt{729}$

$\implies \sf Side =\: 27$

$\implies \sf\bold{\purple{Side =\: 27\: m}}$

Now, we have to find the perimeter of square :

Given :

• Side (a) = 27 m

According to the question by using the formula we get,

$\longrightarrow \sf Perimeter_{(Field)} =\: 4a$

$\longrightarrow \sf Perimeter_{(Field)} =\: 4(27)$

$\longrightarrow \sf Perimeter_{(Field)} =\: 4 \times 27$

$\longrightarrow \sf\bold{\red{Perimeter_{(Field)} =\: 108\: m}}$

$\therefore$ The perimeter of field is 108 m.

Answer 2

Step-by-step explanation:

Appropriate Question :-

A square field has an area of 729 m². Calculate the perimeter of the field.

Given :-

A square field has an area of 729 m².

To Find :-

What is the perimeter of the field.

Formula Used :-

\clubsuit♣ Area of Square Formula :

\begin{gathered}\mapsto \sf\boxed{\bold{\pink{Area_{(Square)} =\: (Side)^2}}}\\\end{gathered}

↦

Area

(Square)

=(Side)

2

\clubsuit♣ Perimeter of Square Formula :

\mapsto \sf\boxed{\bold{\pink{Perimeter_{(Square)} =\: 4a}}}↦

Perimeter

(Square)

=4a

where,

a = Side of Square

Solution :-

First, we have to find the side of square :

Given :

Area of Square = 729 m²

According to the question by using the formula we get,

\implies \sf (Side)^2 =\: 729⟹(Side)

2

=729

\implies \sf Side =\: \sqrt{729}⟹Side=

729

\implies \sf Side =\: 27⟹Side=27

\implies \sf\bold{\purple{Side =\: 27\: m}}⟹Side=27m

Now, we have to find the perimeter of square :

Given :

Side (a) = 27 m

According to the question by using the formula we get,

\longrightarrow \sf Perimeter_{(Field)} =\: 4a⟶Perimeter

(Field)

=4a

\longrightarrow \sf Perimeter_{(Field)} =\: 4(27)⟶Perimeter

(Field)

=4(27)

\longrightarrow \sf Perimeter_{(Field)} =\: 4 \times 27⟶Perimeter

(Field)

=4×27

\longrightarrow \sf\bold{\red{Perimeter_{(Field)} =\: 108\: m}}⟶Perimeter

(Field)

=108m

\therefore∴ The perimeter of field is 108 m.