ABC26GN4402 · Area

Subject: General Aptitude · Chapter: Area · Exam: · Marks: · Difficulty:

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

Answer (as printed): C

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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