If the length of a diagonal of a square is 6√2 cm, then its area will be :

  1. 24√2 cm2
  2. 24 cm2
  3. 72 cm 2
  4. 36 cm2
Anurag Mishra Professor Asked on 27th December 2015 in Maths.
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1 Answer(s)

Answer:  (4) 36 cm²

Explanation:-
The length of a diagonal of a square = 6√2 cm

Formula-
The area of the square = d²/2

Where, d = diagonal of the square. 

Then, the area of the square = (6√2)²/2
= (6 x √2 x 6 x √2)/2
= 36 x 2/2
36 cm²

Then, the area of the square is  36 cm².

Hence, the correct answer is option (4) 36 cm².

Anurag Mishra Professor Answered on 27th December 2015.
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