- 16√2 cm
- 12√2 cm
- 4√2 cm
- 10√2 cm

Option 2 : 12√2 cm

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Cell

314011

10 Questions
10 Marks
7 Mins

**GIVEN:**

Difference between the area (in cm^{2}) and perimeter (in cm) of a square is 96

**FORMULA USED:**

Diagonal = Side × √2

**CALCULATION:**

Let the side of the square = ‘x’ cm

So,

x^{2} – 4x = 96

⇒ x^{2} – 4x – 96 = 0

⇒ x^{2} – 12x + 8x – 96 = 0

⇒ x(x – 12) + 8(x – 12) = 0

⇒ x = 12 cm

So,

Diagonal of the square = x√2 = 12√2 cm
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