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Question

A park has the shape of a regular hexagon of sides 2 m each. Ram walks a distance of 5 m around the perimeter. What is the direct distance between the start point and the end point?


A
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B


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C


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D


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Solution

The correct option is B



Vertex angle for regular hexagon = 180(62)6=30×4=120

In the ΔABC, ACB = CAB = 30

We know 30 - 60 - 90 = 1 : 3 : 2 ; AC = 23
Now, from ΔACD:-
12 + (23)2 = AD2;AD = 13.Option (b)
The starting point of Ram is A and end point is D.
Alternate Solution:
The answer option will have to be between 23 and 4 i.e. between 12 and 16.

Only option (b) fulfils the given condition and hence option (b) is the correct answer choice.


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