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 = $latex \frac{Diagonal}{\sqrt{2}}&s=1$
∴ Area = $latex \frac{Diagonal^{2}}{2}&s=1$
$latex =\frac{\left ( 5.2 \right )^{2}}{2}&s=2$ $latex = \frac{27.04}{2}&s=1$
= 13.52 sq.cm
Hence option [C] is the right answer.