Question

The area of a square is 256 cm2 1) Find the length
of each side of the square The perimeter of the square​

Answer 1

Given :

• Area of a square = 256 cm²

To Find :

• Length of each side of square and the perimeter of the square

Solution :

Area of square is given by ,

$\\ \star \: {\boxed{\purple{\sf{Area_{(square)} = {(side)}^{2} }}}}$

Substituting the values we have in the formula ,

$\\ : \implies \tt \: 256 \: = {s}^{2}$

$\\ : \implies \sf \: s = \sqrt{256}$

$\\ : \implies{\underline{\boxed {\mathfrak{\blue{s = 16\: cm}}}}} \: \bigstar$

Now , Perimeter of a square is given by ,

$\\ \star\: {\boxed{\purple{\sf{Perimeter_{(square)} = 4(side)}}}}$

Substituting the values we have in the formula ,

$\\ : \implies \sf \: Perimeter_{(square)} = 4(16)$

$\\ : \implies{\underline{\boxed{\blue {\mathfrak{Perimeter_{(square)} = 64\: cm}}}}} \: \bigstar$

Hence ,

• The length of each side and perimeter of the given square is 14 cm and 64 cm

Answer 2

Given :-

Area of square = 256 cm².

Solution:-

Side² = 256 cm².

SIDE = √Area

SIDE = √256

$\implies \sqrt{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2}$

= 2×2×2×2

= 16 cm.

$\sf\red{\boxed{Perimeter of square= 4 × side}}$

=4×16

= 64 cm.