To find the height of the fence in design A, we need to add the length of the posts to the height they are installed below ground level.
1. The length of the posts in design A is 4 1/4 feet.
2. The posts in design A are installed 7/8 feet below ground level.
To find the total height, we add the length of the posts and the depth they are installed below ground level:
4 1/4 feet + 7/8 feet = 4.25 feet + 0.875 feet = 5.125 feet
Therefore, the height of the fence in design A is 5.125 feet.
Now, let's find the height of the fence in design B using the same steps:
1. The length of the posts in design B is 6 3/4 feet.
2. The posts in design B are installed 1 1/2 feet below ground level.
To find the total height, we add the length of the posts and the depth they are installed below ground level:
6 3/4 feet + 1 1/2 feet = 6.75 feet + 1.5 feet = 8.25 feet
Therefore, the height of the fence in design B is 8.25 feet.
To determine which fence will be taller and by how much, we subtract the height of the fence in design A from the height of the fence in design B:
8.25 feet - 5.125 feet = 3.125 feet
Therefore, the fence in design B will be taller than the fence in design A by 3.125 feet.
Mr. and Mrs. Samson are planning to build a fence around their garden, so they compare two different designs.
Design A:
Posts: 4 1/4 feet in length. Post must be installed 7/8 below ground level.
Design B: Posts: 6 3/4 feet in length.
Posts must be installed 1 1/2 feet below ground level.
1. What will be the height of the fence in design A?
2. What will be the height of the fence in design B?
3. Which fence will be taller and by how much?
(Complete each question step-by-step.)
1 answer