If the length of the diagonal AC of a square ABCD is 5.2 cm, then the area of the square is :

If the length of the diagonal AC of a square ABCD is 5.2 cm, then the area of the square is :
[A]10.00 sq.cm
[B]12.62 sq.cm
[C]13.52 sq.cm
[D]15.12 sq.cm

13.52 sq.cm
Side of square = \frac{Diagonal}{\sqrt{2}}
∴ Area = \frac{Diagonal^{2}}{2}
=\frac{\left ( 5.2 \right )^{2}}{2} = \frac{27.04}{2}
= 13.52 sq.cm
Hence option [C] is the right answer.

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