A straight fence is constructed from posts 6 inches wide and separated by lengths of chain 5 feet long. A certain fence begins and ends with a post. If there are 7 posts, what is the total length of the fence?

Respuesta :

Answer: 72 ft

Step-by-step explanation:

Given

The width of a post is [tex]w=6\ in.[/tex]

Posts are separated by [tex]5\ ft[/tex] chain

for 2 posts, length is [tex]6+5+6=17\ ft[/tex]

for 3 posts, length is [tex]6+5+6+5+6=28\ ft[/tex]

for 4 posts, it is [tex]28+5+6=39[/tex]

i.e. 11 ft is adding on the addition of another post

for 7 posts it is [tex]17+11\times 5=72\ ft[/tex]

Thus, the total length of the fence is [tex]72\ ft[/tex]