Question : If the area of a square is 529 cm², then what is the length of its diagonal?
Option 1: $23\mathrm{~cm}$
Option 2: $26 \sqrt{3} \mathrm{~cm}$
Option 3: $23 \sqrt{2 } \mathrm{~cm}$
Option 4: $46 \mathrm{~cm}$

Question

Question : If the area of a square is 529 cm², then what is the length of its diagonal?

Option 1: $23\mathrm{~cm}$

Option 2: $26 \sqrt{3} \mathrm{~cm}$

Option 3: $23 \sqrt{2 } \mathrm{~cm}$

Option 4: $46 \mathrm{~cm}$

Team Careers360 · Accepted Answer

Correct Answer: $23 \sqrt{2 } \mathrm{~cm}$

Solution : Let the side of the square be $a$.
The area of a square = 529 cm²
⇒ $a^2=529$
$ herefore a =23\ ext{cm}$
Diagonal of a square $= \sqrt2× ext{Side}=23\sqrt{2}\ ext{cm}$
Hence, the correct answer is $23\sqrt{2}\ ext{cm}$.

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Question : If the area of a square is 529 cm2, then what is the length of its diagonal?Option 1: 23 cmOption 2: 263 cmOption 3: 232 cmOption 4: 46 cm

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Question : If the area of a square is 529 cm², then what is the length of its diagonal?
Option 1: $23 cm$
Option 2: $26 \sqrt{3} cm$
Option 3: $23 \sqrt{2} cm$
Option 4: $46 cm$