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: $12 \mathrm{~cm}$
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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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