Question

Find the perimeter of the square whose area is 676cm2 .

Answer 1

Answer:

perimeter = 104

area = 676

Answer 2

Answer :-

• The perimeter of the square = 104 cm.

Given :-

• The area of a square is 676 cm².

To find :-

• The perimeter of the square.

Step-by-step explanation :-

We know that :-

$\underline{ \boxed{ \bf Area \: of \: a \: square = Side \times Side.}}$

Here,

Area = 676 cm².

$\implies \sf676 = Side \times Side$

$\implies \sf676 = {Side}^{2}$

$\implies \sf \sqrt{676} = Side$

$\implies \underline{\boxed{\sf26 = Side.}}$

Hence, each side of the square = 26 cm.

Now, we know that :-

$\underline{ \boxed{\bf Perimeter \: of \: a \: square = 4 \times Side.}}$

Here,

Side = 26 cm.

$\implies \sf Perimeter = 4 \times 26 \: cm$

$\implies \underline{\boxed{\sf Perimeter = 104 \: cm.}}$

-----------------------------------------------------------

Some more formulae :-

Perimeter of a rectangle = 2 (Length + Breadth).

Area of a rectangle = Length × Breadth.

Perimeter of a triangle = Sum of all the sides.

Area of a triangle =$\sf \dfrac{1}{2} \times Base \times Height.$

-----------------------------------------------------------