Question

find the perimeter of a square which diagonal is 12√2​

Answer 1

diagonal=12√2

√2a=12√2

a=12cm(a=side)

perimeter of square=4a

=4×12=48cm

please follow

Answer 2

Answer:

Perimeter = 48 sq.units.

Step-by-step explanation:

Given:

• Diagonal of square = 12√2 units

To find:

Perimeter of square = ?

Solution:

There is a formula which connects Perimeter of square and Diagonal of square which can be derived from Pythagoras theorem i.e.

Perimeter of square = 2√2 × Diagonal

Applying this formula,

Perimeter of square = 2√2 × 12√2

⇒ Perimeter of square = 2 × 12 × √2 × √2

⇒ Perimeter of square = 24 × 2

⇒ Perimeter of square = 48 sq.units.

∴ Perimeter of square = 48 sq.units.