Question

1) If diagonals of a square is 572cm.then the
perimeter of square is
O 20 cm
O
25 cm
O 30 cm
O 35 cm​

Answer 1

Correct Question:

Q: If the diagonal of a square is 5√(2) cm then the perimeter of square is

Answer:

Perimeter of square = 20 cm

Step-by-step explanation:

Given that:

• Diagonal of a square is 5√(2) cm.

To Find:

• Perimeter of square.

Let us assume that the side of square be a.

Finding the side of square using pythagoras theorem:

→ a² + a² = {5√(2)}²

→ 2a² = 5 × 5 × 2

→ a² = 50/2

→ a² = 25

→ a² = 5² [Powers get cancelled]

→ a = 5

∴ Side of square = 5 cm

We know that:

• Perimeter of a square = (4 × side)

Finding the perimeter of square:

• Perimeter of a square = (4 × 5 cm)
• Perimeter of square = 20 cm

Answer 2

Answer:

Correct Question :-

• If diagonals of a square is 5√2 cm, then the perimeter of square is -

Option :

● 20 cm

● 25 cm

● 30 cm

● 35 cm

Given :-

• If diagonals of a square is 5√2 cm.

To Find :-

• What is the perimeter of a square.

Formula Used :-

★ Perimeter of a square = 4(Side) ★

Solution :-

Given :

• Diagonal of a square = 5√2 cm

By using Pythagoras Theorem we get,

⇒ (a)² + (a)² = (5√2)²

⇒ 2a² = 50

⇒ a² = 50/2

⇒ a² = 25

⇒ a = √25

➦ a = 5 cm

Hence, the side of a square is 5 cm .

Now, we have to find the perimeter of a square,

Given :

• Side of a square = 5 cm

According to the question by using the formula we get,

↦ Perimeter of a square = 4(side)

↦ Perimeter of a square = 4(5 cm)

↦ Perimeter of a square = 4 × 5 cm

➠ Perimeter of a square = 20 cm

∴ The perimeter of a square is 20 cm .

Hence, the correct options is option no 1) 20 cm.