If area of a square is 484 cm2. How long Its diagonal is:
1. 44 cm
2. 22√5 cm
3. 22 cm
4. 22√2 cm
1. 44 cm
2. 22√5 cm
3. 22 cm
4. 22√2 cm
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Correct Answer – Option 4 : 22√2 cm
Given:
Area of square = 484 cm2
Formula Used:
Area of square = side × side
Diagonal = √2 × side
Calculation
Area of square = side × side
⇒ √484 = side
⇒ 22 cm = side
Diagonal = √2 × side
⇒ Diagonal = √2 × 22
⇒ Diagonal = 22√2 cm
∴ The length of the diagonal is 22√2 cm.
The correct option is 4 i.e.22√2 cm.