A regular hexagon with a perimeter of 24 meters is dilated by a scale factor of 5 2 to create a new hexagon. What is the perimeter of the new hexagon?
4*3
8*9
54
To find the perimeter of the new hexagon after it has been dilated by a scale factor of 5/2, we can follow these steps:
1. Find the perimeter of the original hexagon: Since the original hexagon has a perimeter of 24 meters, we can divide this perimeter by 6 to find the length of each side. Each side of the original hexagon measures 24 m / 6 = 4 meters.
2. Apply the scale factor: Multiply the length of each side of the original hexagon by the scale factor of 5/2. Each side of the new hexagon will measure 4 m x (5/2) = 10 meters.
3. Calculate the perimeter of the new hexagon: Since the new hexagon has all sides measuring 10 meters, we can multiply this length by 6 to find the perimeter. The perimeter of the new hexagon is 10 m x 6 = 60 meters.
Therefore, the perimeter of the new hexagon is 60 meters.