8th Class
Mathematics
Mensuration
Question Bank
Mensuration
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 \[a={{a}^{2}}\] \[AC=\sqrt{{{a}^{2}}+{{b}^{2}}}=\sqrt{2{{a}^{2}}}=a\sqrt{2}=\sqrt{2}\times \] \[\Delta ABD\]