question_answer

The length of diagonal of a square whose area is \[16900\,{{m}^{2}}\]is

A)  \[130\,m\]                               

B)  \[130\sqrt{2}\,m\]

C)  \[169\,m\]                               

D)  \[144\,m\]

Correct Answer: B

Solution :

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