question_answer

The length of diagonal of a square whose area is  \[37\frac{1}{2}%\] is

A) 130m             

B)  \[60%\]

C) 169m             

D) 144m

Correct Answer: B

Solution :

Let the side of square be x m. then \[=2l+2b\] or \[=2(l+b)\]or \[=\sqrt{{{l}^{2}}+{{b}^{2}}}\] Diagonal BD \[a={{a}^{2}}\]                         \[AC=\sqrt{{{a}^{2}}+{{b}^{2}}}=\sqrt{2{{a}^{2}}}=a\sqrt{2}=\sqrt{2}\times \]                         \[\Delta ABD\]