The perimeter of the enlarged hexagon is 5 times the perimeter of the original hexagon
The steps that can be used to find the effect of the enlargement on the original hexagon can be presented as follows;
The side length of the regular hexagon = 6 cm
The scale factor of the enlargement transformation = 5 times initial size
Length of the sides of the enlarged hexagon are therefore;
Length is; 5 × 6 cm = 30 cm
Number of sides in an hexagon = 6 sides
Perimeter of the original hexagon is; 6 × 6 cm = 36 cm
Perimeter of the enlarged hexagon is; 6 × 30 cm = 180 cm
Therefore, the perimeter of the enlarged hexagon is; 180/36 = 5 times the perimeter of the original hexagon