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: $46 \mathrm{~cm}$
Correct Answer: $23 \sqrt{2 } \mathrm{~cm}$
Solution :
Let the side of the square be $a$.
The area of a square = 529 cm
2
⇒ $a^2=529$
$\therefore a =23\ \text{cm}$
Diagonal of a square $= \sqrt2×\text{Side}=23\sqrt{2}\ \text{cm}$
Hence, the correct answer is $23\sqrt{2}\ \text{cm}$.
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