If fence posts are set 10 meters apart, how many posts are needed to fence a rectangular field 400 meters
by 200 meters?
120 fences
Perimeter = 2(400) + 2(200) = ?
Divide that answer by 10 to get the answer above.
To calculate the number of fence posts needed to fence a rectangular field, we need to determine the number of gaps between the posts.
First, we calculate the number of gaps along the longer side of the field (400 meters). Since the fence posts are set 10 meters apart, we divide the length of the longer side by the spacing between the posts:
Number of gaps along the longer side = 400 meters / 10 meters = 40 gaps
Next, we calculate the number of gaps along the shorter side of the field (200 meters):
Number of gaps along the shorter side = 200 meters / 10 meters = 20 gaps
To determine the total number of fence posts needed, we need to calculate the number of posts required for both sides of the field:
Total number of fence posts = (Number of gaps along the longer side + 1) * (Number of gaps along the shorter side + 1)
Total number of fence posts = (40 + 1) * (20 + 1)
Total number of fence posts = 41 * 21
Total number of fence posts = 861
Therefore, 861 fence posts are needed to fence a rectangular field with dimensions 400 meters by 200 meters when the spacing between posts is 10 meters.
To determine how many fence posts are needed to fence a rectangular field, you need to calculate the number of spaces between the posts.
First, determine the length of one side of the field by adding up the lengths of all the sides: 400 meters + 200 meters + 400 meters + 200 meters = 1200 meters.
Next, divide the total length of the field by the distance between each fence post: 1200 meters รท 10 meters = 120 spaces.
However, this result only represents the number of spaces between the posts. To determine the total number of fence posts needed, you need to add one additional post at the starting and ending points.
Therefore, the total number of fence posts required to fence a rectangular field measuring 400 meters by 200 meters with posts set 10 meters apart is 120 spaces + 2 posts = 122 fence posts.