The diagonal of a rectangle is thrice its smaller side. The ratio of the length to the breadth of the… · ABC26GN4330
Subject: General Aptitude · Chapter: Area
The diagonal of a rectangle is thrice its smaller side. The ratio of the length to the breadth of the rectangle is
(a)3 : 1
(b)$\sqrt{3}: 1$
(c)$\sqrt{2}: 1$
(d)$2 \sqrt{2}: 1$
Answer
No answer key was printed for this question.
Explanation
$\sqrt{l^{2}+b^{2}}=3 b \Rightarrow l^{2}+b^{2}=9 b^{2} \Rightarrow l^{2}=8 b^{2}$ $$\Rightarrow \frac{l^{2}}{b^{2}}=8 \Rightarrow \frac{l}{b}=\sqrt{8}=2 \sqrt{2}=\sqrt{2}: 1 .$$
Explanation as extracted from the printed page; notation may be imperfect.
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