If the length of the diagonal of a square is 20 cm, then its perimeter must be · ABC26GN4402
Subject: General Aptitude · Chapter: Area
If the length of the diagonal of a square is 20 cm, then its perimeter must be
(a)$10 \sqrt{2} \mathrm{cm}$
(b)40 cm
(c)$40 \sqrt{2} \mathrm{cm}$
(d)200 cm
Answer
Explanation
$d=\sqrt{2} \times l \Rightarrow l=\frac{20}{\sqrt{2}}$. $$\text { ∴ } \text { Perimeter }=(4 l) \mathrm{cm}=\left(\frac{4 \times 20}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}}\right) \mathrm{cm}=40 \sqrt{2} \mathrm{cm} .$$
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