A regular hexagon is there. The mid points of the sides were joined and formed another hexagon.Then What is the percentage reduction in area.  Choose the correct choice from the following choices.
A) 25%  B) 35%  C) 45%  D) 55%  E) 65%
Let ABCDEF be the regular hexagon with sides AB and ED parallel. P and Q are mid points of AF and EF resp.   25%E=root(3) * s (s is side of hexagon)   then PQ =(root(3) * s)/2 mid point theorem   Now u know side of inner hexagon   use formula area of hexagon = (3 * root(3))2 * s^2   and find diff in area of two hexagon multiply by 100 and divide the product by area of bigger hexagon   25%ns 25%   25%NSWER:25%
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A regular hexagon is there. The mid points of the sides were joined and formed another hexagon.Then What is the percentage reduction in area.