Thomas puts fence posts from one end of a field to the other, equal distance apart. There are 287 posts. Width of each post is 10 cm. Distance between two posts is 30 meters. Find Length of fence.

10cm + 286(30m+10cm)

is 59

To find the length of the fence, we need to determine the total distance covered by all the posts.

First, let's convert the distance between two posts from meters to centimeters since the width of each post is given in centimeters.

1 meter = 100 centimeters
So, the distance between two posts in centimeters is:
30 meters * 100 centimeters/meter = 3000 centimeters

Now, we can calculate the total distance covered by all the posts by multiplying the distance between two posts by the number of posts.

Total distance covered by all the posts = 3000 centimeters * 287 posts = 861,000 centimeters

However, we need to multiply the distance by 2 because each post contributes to the length of the fence on both sides.

Total length of the fence = 2 * 861,000 centimeters = 1,722,000 centimeters

Therefore, the length of the fence is 1,722,000 centimeters.

To find the length of the fence, we need to calculate the total distance covered by all the fence posts.

First, let's find the total distance covered by the fence posts in meters. We know that the distance between two posts is 30 meters. Since there are 287 posts, we can calculate the total distance by multiplying the distance between two posts by the number of gaps between the posts:

Total distance covered by the fence posts = Distance between two posts * (Number of gaps between the posts + 1)

Total distance covered by the fence posts = 30 meters * (287 gaps + 1)

Total distance covered by the fence posts = 30 meters * 288 gaps

Total distance covered by the fence posts = 8,640 meters

Now, let's convert the distance from meters to centimeters since the width of each post is given in centimeters. There are 100 centimeters in a meter, so:

Total distance covered by the fence posts = 8,640 meters * 100 centimeters/meter

Total distance covered by the fence posts = 864,000 centimeters

Since the width of each post is 10 centimeters and there are 287 posts, we need to account for the width of the posts as well. We can calculate the length of the fence by adding the total distance covered by the fence posts to the extra length due to the width of each post:

Length of fence = Total distance covered by the fence posts + (Width of each post * Number of posts)

Length of fence = 864,000 centimeters + (10 centimeters * 287 posts)

Length of fence = 864,000 centimeters + 2,870 centimeters

Length of fence = 866,870 centimeters

Therefore, the length of the fence is 866,870 centimeters.