but was my answer right?

Note: For Image see my avatar ( I dont know how to add image) Y is the side of regular polygon (in red) And x will be s-y; X=y/√2 since...

If the side of the square is s, then the side of hexagon would be s/(2+√2) . Considering the hexagon made would be regular.

If the side of the square is s, then the side of hexagon would be s/(2+√2) . Considering the hexagon made would be regular