A rectangular field is 80 m long and 60 m wide. If fence posts are placed at the corners and are 10 m apart along the four sides of the field, how many posts are needed to completely fence the field?
Posts = 4 + (2*L/10) + (2*W/10)
To find the number of fence posts needed to completely fence the field, we first need to find the perimeter of the field.
The perimeter of a rectangle can be calculated by adding up the lengths of all its sides. In this case, the field is 80 m long and 60 m wide, so the perimeter can be calculated as follows:
Perimeter = 2 * (Length + Width)
= 2 * (80 m + 60 m)
= 2 * 140 m
= 280 m
Now that we know the perimeter of the field is 280 m, we need to determine the spacing between each fence post. In this case, the fence posts are placed at the corners and are 10 m apart along the four sides.
Since there are four sides, the fence posts will be placed at the beginning and end of each side, meaning there will be a post every 10 m along each side. Therefore, the spacing between each fence post is 10 m.
To find the number of fence posts needed, we can divide the perimeter of the field by the spacing between each post:
Number of fence posts = Perimeter / Spacing
= 280 m / 10 m
= 28 posts
Therefore, to completely fence the rectangular field, 28 fence posts are needed.