Quantitative Aptitude Ques 161

Question: If one-fourth of the area of a rectangular plot is $ 2700,m^{2} $ and the width of that plot is 90 m, what is the ratio between the width and length of the plot? [LIC (ADO) 2015]

Options:

A) 3 : 4

B) 4 : 3

C) 3 : 1

D) 1 : 3

E) 4 : 1

Show Answer

Answer:

Correct Answer: A

Solution:

  • Let the area of the rectangular plot $ =x,m^{2} $ Given, $ \frac{1}{4}th $ of the area $ =2700,m^{2} $ Then, $ \frac{x}{4}=2700 $

$ \therefore $ $ x=10800,m^{2} $ $ Width=90,m $ Length $ \times $ Width = 10800
$ \Rightarrow $ Length $ \times $ 90 = 10800

$ \therefore $ Length = 120 m Required ratio $ =\frac{Width}{Length}=\frac{90}{120}=\frac{3}{4}=3:4 $