Question

The length of diagonal of a square whose area is 16900$m^2$ is

• A. 130m
• B. $130\sqrt{2}m$
• C. 169m
• D. 144m

Answer 1

Answer: (B)

$130\sqrt{2}m$

Let the length of square is a m

$\therefore a^2=16900\Rightarrow a=130$ m

Clearly, triangle $ABC$ is a right angled triangle, so by pythagoras theorem we can find $AC$.

Then diagonal =$\sqrt{(side{)}^2+(side{)}^2}={\sqrt{2\left(130\right)}}^2=130\sqrt{2}$ m