Question

If the length of the diagonal AC of a square ABCD is 4.8 cm, then the area of the square is: 
1. 11.52 cm²
2. 10.36 cm²
3. 13.42 cm²
4. 12.12 cm²

Answer 1

Correct Answer - Option 1 : 11.52 cm²

Given:

Diagonal AC of a square ABCD is 4.8 cm

Formula Used:

Area of square = a², a is the side of a square.

d = √2 × a, d is the diagonal of square. 

Calculation:

d = √2 × a

⇒ 4.8 = √2 × a

⇒ a = 4.8/√2

Area of square = a2

⇒ Area of square = (4.8/√2)²

⇒ Area of square = (4.8 × 4.8) / 2

⇒ Area of square = 2.4 × 4.8

⇒ Area of square = 11.52 cm²

∴ The area of the square is 11.52cm²