One garden is a regular hexagon. The perimeter of the garden is 1,680 meters, and posts are put every 10 meters along each side, but not at the corners. How many posts are needed altogether?

Answer 1

The perimeter of a regular hexagon is given by the formula:

Perimeter = 6s

where s is the length of each side. In this case, we know the perimeter is 1,680 meters, so we can solve for the length of each side:

1,680 = 6s
s = 280 meters

Now, we know that posts are placed every 10 meters along each side, but not at the corners. Since there are 6 sides to the hexagon, there will be 5 posts along each side (since there is no post at the corner).

Therefore, the total number of posts needed is:

5 posts/side * 6 sides = 30 posts

So, 30 posts are needed altogether.