Question

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

• A. $15.12c{m}^2$
• B. $13.52c{m}^2$
• C. $12.62c{m}^2$
• D. $10c{m}^2$

Answer 1

The correct option is B $13.52c{m}^2$

We have,

Side of square $=\frac{Diagonal}{\sqrt{2}}$

$\therefore$ Area $=(\frac{Diagonal}{\sqrt{2}}{)}^2$

$=\frac{{\left(5.2\right)}^2}{2}$

$=\frac{27.04}{2}$

$=13.52c{m}^2$

Hence, Option $B$ is the correct answer.