question_answer

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

Correct Answer: B

Solution :

      Let the side of square be x m. then \[{{x}^{2}}=16900\,{{m}^{2}}\,or\,x=\sqrt{16900}\] or \[x=130\,m\]. Diagonal \[BD=\sqrt{D{{C}^{2}}+B{{C}^{2}}}\] \[=\sqrt{{{130}^{2}}\,+{{130}^{2}}}\] \[=130\sqrt{2}\,m\]