The ratio between the length and the perimeter of a rectangular plot is 1 : 3. What is the ratio between the length and breadth of the of the plot ?

Solution (By Examveda Team)

$$\eqalign{ & \frac{l}{{2\left( {l + b} \right)}} = \frac{1}{3} \cr & \Rightarrow 3l = 2l + 2b \cr & \Rightarrow l = 2b \cr & \Rightarrow \frac{1}{b} = \frac{2}{1} = 2:1 \cr} $$