The ratio of length and breadth of a rectangle is 3 : 2 respectively. The respective ratio of its perimeter and area is 5 : 9. What is the breadth of the rectangle in metres ?

A. 6 m

B. 8 m

C. 9 m

D. 13 m

E. None of these

Answer: Option A

Solution(By Examveda Team)

Let the length and breadth of the rectangle be 3x and 2x respectively
Then,
Perimeter = 2 (3x + 2x) = 10x
And,
Area = (3x × 2x) = 6x²
$$\eqalign{ & \therefore \frac{{10x}}{{6{x^2}}} = \frac{5}{9} \cr & \Rightarrow 30x = 90 \cr & \Rightarrow x = 3 \cr} $$
So, breadth = (2 × 3) m = 6 m