Question

The area of a square is 5.29sq.cm, then what isits perimeter​

Answer 1

The Perimeter of square is 9.2  centimeters

Step-by-step explanation:

Given as :

The Area of the square = A = 5.29  sq centimeters

Let The Perimeter of square = P  cm

According to question

A square has four sides of equal length

∵   Area of the square = side ×  side

i.e                               A = side ×  side

Or,               5.29 sq cm = (side)²

Or, side²  =    5.29

∴    side  = $\sqrt{5.29}$

i.e  side = 2.3  cm

So, The measure of each side a square = side = 2.3 cm

Again

A perimeter is define as the sum of all sides of polygon

∵  Perimeter of square = 4 × side

i.e                             P = 4  × 2.3 cm

∴                          P = 9.2  cm

So, The Perimeter of square = P = 9.2 cm

Hence, The Perimeter of square is 9.2  centimeters  Answer

Answer 2

The perimeter of the square = 9.2 cm

Step-by-step explanation:

Given,

The area of a square = 5.29 $cm^{2}$

Let the side of square = a cm

To find, the perimeter of the square = ?

We know that,

The area of a square = $a^{2}$

∴ $a^{2}$ = 5.29

⇒ $a^{2}$ = $\dfrac{529}{100}$

⇒ $a^{2}$ = $(\dfrac{23}{10})^2$

⇒ a = $\dfrac{23}{10}$ cm or, 2.3 cm

∴ The perimeter of the square = 4a

= 4 × 2.3 cm

= 9.2 cm

Thus, the perimeter of the square = 9.2 cm