Quantitative Aptitude Ques 1996

Question: A rectangular lawn is 50 m long and 30 m wide. It has roads 2 m wide goiling the middle points of the opposite side and also a path of same breadth running inside it. The total area of all the paths and roads is

Options:

A) $ 1050m^{2} $

B) $ 928m^{2} $

C) $ 444m^{2} $

D) $ 428m^{2} $

Show Answer

Answer:

Correct Answer: C

Solution:

  • Area of ABCD $ =50\times 30=1500m^{2} $ Area of EFGH $ =46\times 26=1196m^{2} $ Area of path $ =1500-1196=304m^{2} $ Area of shaded square $ =2\times 2=4m^{2} $ Area of roads $ =26\times 2+46\times 2=144m^{2} $ Area of road $ =144-4=140m^{2} $ Area of road and path $ =304+140=444m^{2} $
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