A fence post is to be along side of a lot measuring 114 feet. 19 fence posts are to be used, 1 at each end and 17 equally spaced between the ends.What is the distance between centers of 2 consecutive fence post?

114/18 sections is 6.333333' from post to post

To find the distance between the centers of two consecutive fence posts, we need to divide the total length of the lot by the total number of gaps between the fence posts.

First, let's calculate the total length of the lot without considering the fence posts at the ends. Since there are 19 fence posts in total and 1 post at each end, we have 19 - 2 = 17 fence posts between the ends.

Now, let's calculate the length of the lot without the ends: 114 feet - (length of 2 ends).

To calculate the length of the 2 ends, we know that there's 1 fence post at each end. Since the distance between them is the same as the distance between two consecutive posts in the middle, we divide the total length by the number of equal spaces between posts (17 + 1 = 18 spaces).

Length of each space = (Length of the lot without the ends) / (Number of spaces)
Length of each space = 114 feet / 18 = 6 feet

Therefore, the distance between the centers of two consecutive fence posts is 6 feet.