Question : The area of a square is 144 cm2. What is the length of each of its diagonals?
Option 1: $14 \sqrt{2} \mathrm{~cm}$
Option 2: $6 \sqrt{2} \mathrm{~cm}$
Option 3: $12 \sqrt{2} \mathrm{~cm}$
Option 4: $12 \mathrm{~cm}$
Correct Answer: $12 \sqrt{2} \mathrm{~cm}$
Solution :
According to the question,
The area of the square is 144 cm
2
⇒ Area = (Side Length)
2
=
144 cm
2
⇒ side = $\sqrt{144}$ = 12 cm
⇒ Length of diagonal = $\sqrt{2}$ × Side length = 12$\sqrt{2}$
Hence, the correct answer is $12 \sqrt{2} \mathrm{~cm}$.
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