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 ?
Options:
A . $$\frac{1}{2}\,km$$
B . $$1\,km$$
C . $$1\frac{1}{2}\,km$$
D . $$2\,km$$
Answer: Option B Let the length and breadth of the field be l and b km respectively Then, 2 (l + b) = 6 ⇒ l + b = 3 And lb = 2 (l - b)2 = (l + b)2 - 4lb ⇒ (l - b)2 = 32 - 4 × 2 ⇒ (l - b)2 = 1 ⇒ (l - b) = 1 km
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