Question

if post are spaced 10 feet apart for a straight-line fence of 100 feet,then you would need how many post to hang the fence?

Answer 1

To calculate the number of posts for a 100 feet fence with posts 10 feet apart, you account for posts at the beginning and end of the fence, resulting in a total of 11 posts.

Step-by-step explanation:

If posts are spaced 10 feet apart for a straight-line fence that is 100 feet in length, you need to determine the number of posts required. To solve this problem, you start by considering that the first and last post will mark the beginning and end of the 100 feet fence. Therefore, if you place a post at 0 feet, you would place the next posts at 10 feet intervals - 10, 20, 30, ..., up to 100 feet.

Now, let's compute the number of posts. Starting with the first post (at 0 feet), count every 10-foot interval up to and including the final 100-feet mark. This gives us the following posts: 0, 10, 20, 30, 40, 50, 60, 70, 80, 90, and 100.

Counting these marks, we find there are 11 posts needed to hang the fence along the 100 feet length. It's important to include both the first and last posts in your count to ensure the entire length of the fence is supported.

Answer 2

There are 11. Remember, there's a post at the very beginning of the fence, and one at the very end. So it's (fence length / 10) + 1 = (100 / 10) + 1 = 10 + 1 = 11.

They're positioned along the fence at the following distances from the start:

0 ft, 10 ft, 20 ft, ..., 100 ft.

That's probably why the question specified "straight-line fence". If it was in a decagon (10-sided polygon shape, so sort of round-ish), the first post could also serve as the last post, and there could be only 10 posts. But in a straight line, there have to be 11.