A man has a garden 10 meters square to fence. How many fence posts are needed if each post is 1 meter from the adjacent posts?
To calculate the number of fence posts needed for a garden, we need to determine the perimeter of the garden and then divide it by the spacing between each post.
The garden is 10 meters square, meaning each side is 10 meters long. Therefore, the perimeter can be calculated as 10 + 10 + 10 + 10 = 40 meters.
Since each fence post is placed 1 meter from the adjacent posts, we need to subtract the total spacing from the total perimeter to get the length of the fence that will be covered by the fence posts.
If we place a fence post every 1 meter, we have to subtract 1 meter for each post from the total perimeter. Since there are 4 sides, we need to subtract 4 meters.
Total fence length covered by the posts = Total perimeter - Total spacing
Total fence length covered by posts = 40 meters - 4 meters = 36 meters
Therefore, 36 fence posts will be needed for the garden.
To determine how many fence posts are needed for a garden, we need to find the perimeter of the garden and then divide it by the distance between the posts.
First, let's calculate the perimeter of the garden. Since the garden is a square, all sides are equal. Thus, each side of the garden measures 10 meters.
The formula to calculate the perimeter of a square is:
Perimeter = 4 * side
So, the perimeter of the garden is:
Perimeter = 4 * 10 meters
Perimeter = 40 meters
Now, dividing the perimeter by the distance between the posts (1 meter) will give us the number of fence posts needed.
Number of fence posts = Perimeter / Distance between posts
Number of fence posts = 40 meters / 1 meter
Number of fence posts = 40 posts
Therefore, you would need 40 fence posts to enclose the garden.
39
If the garden is square and has sides of n metres, then each side will require 2+(n-1) posts with the 2 posts at the corners. As the corner posts are common with adjacent sides then the total number of posts is
4 sides of n-1 plus 4 corner posts.
4(n-1) + 4.
if n=10 then the number of posts is
4(10-1)+4=40