A man is walking in a rectangular field whose perimeter is 6 km. If the area of rectangular field be 2 sq km, then what is the difference between the length and breadth of the rectangle?

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RRB TC CC Exam (Bangalore) 2006 click here to view all questions

A man is walking in a rectangular field whose perimeter is 6 km. If the area of rectangular field be 2 sq km, then what is the difference between the length and breadth of the rectangle?

A½km

B1 km

C1½km

D2 km

Sachin Khr ? Nov 18 '2016 at 20:41

Answer is : 1Km
Let the length and breadth of the rectangular field be a and b km. respectively. 
Then, 2(a+b)=6 
\(a+b=3 ----------(i)\)
and 
\(ab=2 -----------(ii) \)
Now, 
\((a-b)^2=(a+b)^2-4ab \)

\((a-b)^2= 3^2- 4 *2\)

\((a-b)^2=9-8\)
\((a-b)^2=1\)

\((a-b) =1\)

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Answer is : 1Km Let the length and breadth of the rectangular field be a and b km. respectively.  Then, 2(a+b)=6  \(a+b=3 ----------(i)\) and  \(ab=2 -----------(ii) \) Now,  \((a-b)^2=(a+b)^2-4ab \) \((a-b)^2= 3^2- 4 *2\) \((a-b)^2=9-8\) \((a-b)^2=1\) \((a-b) =1\) Sachin Khr ? answered Nov 18 '2016 at 20:41 All Comments

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