Question

The diagonal of a rectangle is thrice the smaller side, the ratio of length to breadth of rectangle is

Answer 1

$\sqrt{l^2+b^2}=3b$

$\Rightarrow l^2+b^2=9b^2$

$\Rightarrow l^2=8b^2$

$\Rightarrow \frac{l^2}{b^2}=8$

$\Rightarrow \frac{l}{b}=\sqrt{8}=2\sqrt{2}$