Question

the area of a square with perimeter 52 cm is​

Answer 1

A square has four equal sides.

So perimeter of a square

p

=

4

a

,

where

a

is the length of any one side of the square.

Given

p

=

52

cm

⇒

4

a

=

52

⇒

a

=

52

4

=

13

cm

Area of a square

A

=

a

2

⇒

A

=

13

2

=

169

cm

2

Answer 2

${\huge{\underbrace{\rm{Answer\checkmark}}}}$

★ Given -

• Perimeter of square = 52 cm

★ To Find -

• The Area of the square ..

★ Solution -

• Perimeter = 4 × side

$\implies \rm \: \: 52 \: cm = 4 \times s$

$\implies \rm \: \: s = 13 \: cm$

$\star \rm \: \: \: area \: = {s}^{2}$

$\mapsto \rm \: \: area \: = {(13 \: cm)}^{2}$

$\mapsto \rm \: \: area \: = 169 \: {cm}^{2}$