High School

Max builds rail fences. For one style of fence, each section uses 3 vertical rails and 6 horizontal rails. How many posts and rails does he need for a fence that will be 9 sections long?

Answer :

To calculate the number of posts and rails required for a fence with 9 sections, multiply the number of rails per section by the total number of sections.

To calculate the total number of posts and rails needed for a fence that is 9 sections long with 3 vertical and 6 horizontal rails per section:

  1. Each section requires 3 vertical rails and 6 horizontal rails, totaling 9 rails per section.
  2. For a fence that is 9 sections long, the total number of rails needed is 9 sections multiplied by 9 rails per section, which equals 81 rails.
  3. Since each section requires 3 vertical rails that act as posts, the total number of posts needed for a fence that is 9 sections long is 9 sections multiplied by 3 vertical rails, giving a total of 27 posts.

Answer:

27 vertical posts and 36 horizontal rails

Step-by-step explanation:

If Max builds 1style of fence with each section having 3vertical posts and 6horizontal rails, to calculate the number of posts and rails that he need for a fence that will be 9 sections long, we will use the following equality;

For Posts:

1section = 3 vertical posts

9 sections = x

Cross multiply

x × 1 = 9× 3

x = 27

Hence Max will need 27vertical posts for a fence that is 9sections long

For the rail:

1 section = 6 horizontal rails

6 sections = y

Cross multiply

y× 1 = 6 × 6

y = 36

Hence Max will need 36 horizontal rails for a fence that is 9sections long.

In total Max will need 27 vertical posts and 36 horizontal rails for a fence that is 9sections long