Practice Set 4 Question 115

Question: The area of square field is 69696 m2. Its diagonal will be equal to (use $ \sqrt{2}=1.414 $ )

Options:

A) 313.296 m

B) 353.296 m

C) 373.296 m

D) 393.296 m

Show Answer

Answer:

Correct Answer: C

Solution:

  • Let a be the diagonal of square
    $ \therefore $ $ \frac{1}{2}a^{2}=69696 $
    $ \Rightarrow $ $ a^{2}=2\times 69696 $
    $ \Rightarrow $ $ a=264\times \sqrt{2} $
    $ \Rightarrow $ $ a=373.296,cm $