question_answer 13)

The side of a regular hexagon is denoted by \[l\]. Express the perimeter of the hexagon using \[l\]. (Hint A regular hexagon has all its six sides equal in length).                

Answer:

                Let ABCDEF is the given regular hexagon whose each side is denoted by \[l\]. i.e. \[AB=BC=CD=DE=EF=FA=l\] We know that, perimeter of a regular hexagon = Sum of all the sides of hexagon \[\therefore \] Perimeter of a regular hexagon \[=AB+BC+CD+DE+EF+FA\] \[=l+l+l+l+l+l=6l\] Hence, perimeter of a hexagon using \[l\] can be expressed as \[6l\].