When opened and lying flat, a birthday card is in the shape of a regular hexagon. The card must be folded in half along 1 of its diagonals before being placed in an envelope for mailing. Assuming that the thickness of the folded card will not be an issue, will the birthday card fit inside a rectangular envelope that is 4 inches by 9 inches?
1.Each side of the regular hexagon is 4 inches long.
2.The area of the top surface (which is the same as the area of the bottom surface) of the folded birthday card is less than 36 square inches.