Question

the area of square is 16200 m square find the length of its diagonals​

Answer 1

Question :-

The area of square is 16200m². Find the length of its diagonals.

Answer :-

The length of diagonals of square are 179.9m or 180m ≈.

Step-by-step explanation:

To Find :-

• The length of diagonal of square.

★ Solution

Given that,

• The area of square = 16200m²

∴ The side of square :-

We know,

Area of square = (side)² sq. units,

⇒ (side)² = 16200

⇒ side = √16200

⇒ side = 127.27m

Now, According the question,

Diagonal of square :-

We know,

Diagonal of square = s√2 units,

Where,

• s = side of square.

Therefore,

⇒ s√2

⇒ 127.27√2

⇒ 179.9m or 180m ≈

Hence, the diagonal if square is 179.9m.

_______________________________

Formulas used :-

• Area of square = (s)² sq. units
• Diagonal of square = s√2 units.

Here,

⇒ s = Side of square.