Question

(11) If the diagonal of a square is 12√2 cm then the perimeter of square is
(A) 24 cm (B) 24√2 cm (C) 48 cm (D) 48√2 cm​

Answer 1

Answer:

48 cm

Step-by-step explanation:

Let the side of square be x

x²+x²=(12√2)²

2x²=288

x²=144

x=√144=12cm

perimeter of square=4×x=4×12=48cm

Answer 2

Using Pythagoras

x2+x2=(12√2)2

2x2=(12√2)2

Divide both sides by 2

x2=(12√2)22

Square root both sides

x=12√2√2=12×√2√2

But √2√2=1

x=12 cm← 1 side of the square

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The perimeter if 4 lots of x cm which is 4 lots of 12 cm

So the perimeter =4×12cm=48 cm