Question

The area of a square is 256m². The perimeter of the square is

Answer 1

Answer:

Perimeter of the square is 64 m.

Step-by-step explanation:

It is given that the area of the square is 256m^2.

Area of the square = 256 m^2

We know( Formula ),

Area of square = ( side )^2

Now,

Comparing the value area with the formula given above.

= >  side^2 = 256 m^2

= >  side^2 = 16 m x 16 m

= >  side^2 = ( 16 m )^2

= >  side = 16 m

Then,

Side of square = 16 m.

We know( formula ),

Area of square = 4 x side

So,

Perimeter of the square = 4 x 16 m

Perimeter of the square = 64 m

Answer 2

$\huge\underline \mathbb {SOLUTION:-}$

Answer:

• Length of each side = 16m
• Perimeter of square = 64m

Given:

• The area of a square is 256m².

Need To Find:

• Length of each side of the square = ?
• Perimeter of the square = ?

Explanation:

Let the side of the square = a meter.

$\underline\mathsf \blue {Formula\:Used\:Here\: :-}$

• Area of square = (Side)²

Putting the values according to the given formula:

$\implies \mathsf {Area = a^2}$

$\implies \mathsf {256 = a^2}$

$\implies \mathsf {\sqrt{256} = a}$

$\implies \mathsf \pink {A = 16\:m}$

NoW:

$\underline\mathsf \blue {Formula\:Used\:Here\: :-}$

• Perimeter of square = 4 × Side

Putting the values according to the given formula:

$\implies \mathsf {Perimeter = 4 \times a}$

$\implies \mathsf {Perimeter = 4 \times 16}$

$\implies \mathsf \pink {Perimeter = 64\:meter}$

$\underline\mathsf \orange {Hence\: :-}$

• Side of the square is 16 m.
• Perimeter of the square is 64 m.

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