6th Class
Mathematics
Mensuration
Question Bank
Menstruation
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 \[BD=\sqrt{D{{C}^{2}}+B{{C}^{2}}}\] \[=\sqrt{{{130}^{2}}\,+{{130}^{2}}}\] \[=130\sqrt{2}\,m\]