Subject: General Aptitude · Chapter: Area · Exam: · Marks: · Difficulty:
A man is walking in a rectangular field whose perimeter is 6 km. If the area of the rectangular field be 2 sq. km, then what is the difference between the length and breadth of the rectangle? (R.R.B. 2006; P.C.S. 2009) 701 1
(a)km
(b)1 km 2 1
(c)1 km
(d)2 km 2
Answer
Answer (as printed):
Explanation
Let the length and breadth of the field be $l$ and $b$ km respectively. Then, $2(l+b)=6$ or $l+b=3$ and $l b=2$. $(l-b)^{2}=(l+b)^{2}-4 l b=3^{2}-4 \times 2=1 \Rightarrow(l-b)=1 \mathrm{m}$