Mr. Thomas puts up fence posts from one end to another, equal distances apart. There are 27 posts. The width of each post is 10 centimeters. The distance between two posts is 30 meters.
Find the length of the fence.
Answer (2)
If there are 27 posts, then there are (n - 1) total spaces between the posts . . . 27 - 1 = 26 total spaces (since there has to be a post at each end of the line)
Here's an example of 7 posts equally spaced . . . so you can see there are one less spaces between posts than there are posts (i.e. 6 total spaces between 7 posts) . . .
[] . . . [] . . . [] . . . [] . . . [] . . . [] . . . []
27 posts = 27*(10cm) = 270 cm = 2.7m 26 spaces = 26*(30m) = 780 m
Length of Fence = L = 780m + 2.7m = 782.7m
The total length of the fence that Mr. Thomas needs to put up is 782.7 meters. This includes the width of the posts and the spaces between them. Specifically, the posts contribute 2.7 m and the spaces contribute 780 m, resulting in a combined total.
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