Question

If the ratio between the length and the perimeter of a rectangular plot is 1 : 3, then the ratio between the length and breadth of the plot is

(a) 1 : 2
(b) 2 : 1
(c) 3 : 2
(d) 2 : 3

Answer 1

(b) 2 : 1
It is given that $\frac{Lengthofrec\tan gle}{Perimeterofrec\tan gle}$ = $\frac{1}{3}$
⇒ $\frac{l}{2l+2b}$ = $\frac{1}{3}$
After cross multiplying, we get:
3l = 2l + 2b
⇒ l = 2b
⇒ $\frac{l}{b}$= $\frac{2}{1}$
Thus, the ratio of the length and the breadth is 2 : 1.