A boy started from one corner of a rectangular park and walks along the adjacent sides to reach opposite corner. If he had walked through a shortest distance diagonally, he could have saved the distance equal to five-sixth of the shortest side a park, then the ratio of a longest side to the shortest side is:
Let the length=x and breadth=y of a rectangular park.
Distance covered, when boy walked along the adjacent sides = (x+y)
Distance along diagonal=√(x² + y²)
According to given condition: (x+y) - √(x² + y²) = (5/6)*y
(6x+y)/6 = √(x² + y²)
Squaring on both sides, (36x² + y² + 12xy)/36 = x² + y²
12xy = 35y²
x/y = 35/12
Correct Option 3)