The ratio of the length and the perimeter of a rectangle is 2 : 7. What is the ratio of the length and breadth of the rectangle?

A. 4 : 3

B. 4 : 5

C. 5 : 4

D. 5 : 3

Answer: Option A

Solution(By Examveda Team)

$$\eqalign{ & \frac{l}{{2\left( {l + b} \right)}} = \frac{2}{7} \cr & \Rightarrow 7l = 4l + 4b \cr & \Rightarrow 3l = 4b \cr & \Rightarrow \frac{l}{b} = \frac{4}{3} = 4:3 \cr} $$