A farmer has a rectangular field that is 50 meters long and 30 meters wide. He wants to build a fence around the field to keep his animals from escaping. The fence will be made up of wooden posts that are placed 5 meters apart.

To calculate the number of posts needed, we can first find the perimeter of the field. The perimeter is the sum of all the sides of the rectangle.

The length of the field is 50 meters, and the width is 30 meters. So, the perimeter is 2 times the length plus 2 times the width.

Perimeter = 2(Length) + 2(Width) Perimeter = 2(50) + 2(30) Perimeter = 100 + 60 Perimeter = 160 meters

Now, we know that the posts will be placed 5 meters apart. So, we can divide the perimeter by the distance between each post to find the number of posts needed.

Number of posts = Perimeter / Distance between each post Number of posts = 160 / 5 Number of posts = 32

Therefore, the farmer will need 32 wooden posts to build the fence around his rectangular field.