Question

The area of a square is 256m square (I) find the length of each side of the square (ii) find the perimeter of the square

Answer 1

AnswEr:-

i) Length of each side = 16 m

ii) Perimeter of square = 64 m

Step-by-step-explanation:-

i) ☯Given conditions:-

• Area of square = 256 m²

☯To find:-

• Length of each side = ?

☯Solution:-

Let the side of square be a meter.

We know,

$\star\:\large{\boxed{\sf\blue{Area \: of \: square = (Side)^2 }}}$

• Putting value:-

⇒ 256 = a²

⇒ a = √256 cm

⇒ a = 16 m.

$\therefore{\underline{\textsf{Side \: of \: square = {\textbf{16 \: m }}}}}$

$\rule{200}2$

ii) ☯Given condition:-

• Area of square = 256 m²

☯To find:-

• Perimeter of square = ?

☯Solution:-

◗ Side of square = a m.

We know,

$\star\:\large{\boxed{\sf\green{Perimeter \: of \: square = 4 \times Side }}}$

• Putting value:-

⇒ Perimeter = 4 × 16 m

⇒ Perimeter of square = 64 m.

$\therefore{\underline{\textsf{Perimeter\: of \: square = {\textbf {64 \: m }}}}}$

Answer 2

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❚ QuEstiOn ❚

# The area of a square is 256m²

(I) find the length of each side of the square .

(ii) find the perimeter of the square .

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❚ ANsWeR ❚

✺ Given :

• Area of the square is = 256 m²

✺ To Find :

• (I) find the length of each side of the squar

• (ii) find the perimeter of the square .

✺ Explanation :

Figure is shown below :

$\setlength{\unitlength}{1.05 cm}}\begin{picture}(12,4)\thicklines\put(5.6,9.1){ A }\put(5.6,5.8){ B }\put(9.1,5.8){ C }\put(9.05,9.1){ D }\put(4.5,7.5){ a\:cm }\put(7.1,5.3){ a\:cm }\put(9.5,7.5){ a \:cm }\put(7.1,9.5){ a \:cm }\put(6,6){\line(1,0){3}}\put(6,9){\line(1,0){3}}\put(9,9){\line(0,-1){3}}\put(6,6){\line(0,1){3}}\put(7,7.4){ 256\:cm }\end{picture}$

Let , the side of the square is = a meter

✏ $Area = side^2$

✏ $Area = a^2$

✏ $256 = a^2$

✏ $\sqrt{256 }= a$

✏ $\boxed{a=16\:m}$

And ,

✏ $Perimeter =4\times side$

✏ $Perimeter =4\times a$

✏ $Perimeter =4\times 16$

✏ $\boxed{ Perimeter =64\:m}$

✺ Therefore :

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

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