A man takes 6 km distance to go around the rectangular area. If the area of the rectangle is 2km, find the difference between length and breadth.
Correct Answer: Description for Correct answer:
Perimeter of field = 6 km
(i.e) 2(L+B) = 6
L+ B = 3 ... (i)
Area = LB = 2 km. (ii)
From (i), L = (3 - B), Put this value in (ii)
we have, (3 - B)B = 2
3B - \( B^{2} \) - 2 = 0
=> \( B^{2} \) - 3B + 2 = 0
=> B = \( \frac{3\pm \sqrt{9-8}}{2} \) = 2, 1
When B = 2 then L = 1
When B = 1 then L= 2
Therefore, Difference between Length and Breadth = 1 km
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