Area of the regular hexagon whose diagonal is the line joining the points (2,4) and (6,7) is
A
75√38 sq. units
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B
75√316 sq. units
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C
25√316 sq. units
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D
6√35 sq. units
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Solution
The correct option is A75√38 sq. units Area of regular Hexagon is 3√32a2 (where a is the side length of regular hexagon)
Length of Diagonal is √42+32=5 unit
which is 2 times the side length ⇒a=52 unit ∴ Area =75√38 sq. units