### Instruction: What is the ratio of the measure of a regular hexagon's longest diagonal to the measure of its perimeter? Express your answer as a common fraction.### Response: A regular hexagon is a polygon with six congruent sides and angles.
The longest diagonal of a regular hexagon is twice the length of one side, since it connects opposite vertices.
The perimeter of a regular hexagon is six times the length of one side, since it is the sum of all the sides.
Therefore, the ratio of the longest diagonal to the perimeter is 2:6, which simplifies to 1:3.