Question : If the perimeter of a square is $80\;\mathrm{cm}$, then what is the diagonal (in $\mathrm{cm}$) of the square?
Option 1: $20\sqrt{2}$
Option 2: $40\sqrt{2}$
Option 3: $80\sqrt{2}$
Option 4: $20$
Correct Answer: $20\sqrt{2}$
Solution :
Let the side length of a square be $ \text{s}\;\mathrm{cm}$.
The perimeter of the square $=4 \times \text{s}$
Given that the perimeter is $80\;\mathrm{cm}$.
The side length of the square $=\frac{80}{4} = 20\;\mathrm{cm}$
The diagonal of a square $=\sqrt{2} \times \text{s }$
The length of the diagonal of this square $=\sqrt{2} \times 20 = 20\sqrt{2}\;\mathrm{cm}$
Hence, the correct answer is $20\sqrt{2}$.
Related Questions
Know More about
Staff Selection Commission Sub Inspector ...
Result | Eligibility | Application | Selection Process | Cutoff | Admit Card | Preparation Tips
Get Updates Brochure
Your Staff Selection Commission Sub Inspector Exam brochure has been successfully mailed to your registered email id “”.
