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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: $12 \mathrm{~cm}$


Team Careers360 19th Jan, 2024
Answer (1)
Team Careers360 22nd Jan, 2024

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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