DEREK PLANTED A GARDEN IN THE SHAPE OF A SQUARE 32 FEET ON EACH SIDE. THE GARDEN HAS A STREAM ON ONE SIDE, BUT HE PLANS TO BUILD A FENCE ON THE OTHER THREE SIDES. IF HE PUTS A FENCEPOST EVERY 8 FEET, HOW MANY POSTS WILL HE NEED
Total=13
One row of five posts across from the stream.
Two rows of four perpendicular to the stream.
Total = 13
To calculate the number of fence posts Derek will need, we can determine the perimeter of the garden and divide it by the distance between each fence post.
1. The garden is in the shape of a square, with each side measuring 32 feet.
2. The perimeter of a square is calculated by multiplying the length of one side by 4. So, in this case, the perimeter is 32 feet x 4 = 128 feet.
3. Derek plans to build a fence on the three sides of the garden, excluding the side with the stream. So, he needs to calculate the perimeter of three sides, which is 3 x 32 feet = 96 feet.
4. Since fence posts will be placed every 8 feet, we divide the perimeter by 8: 96 feet ÷ 8 = 12.
5. Therefore, Derek will need 12 fence posts to build the fence on the three sides of his garden.
To find the number of fence posts that Derek will need, we need to determine the perimeter of the garden and divide it by the spacing between the fence posts.
The square garden has four equal sides, each measuring 32 feet. So, the perimeter of the garden is calculated by multiplying the length of one side by 4:
Perimeter = 32 feet × 4 = 128 feet
Next, we need to determine the number of fence posts needed by dividing the perimeter by the spacing between each fence post, which is 8 feet:
Number of fence posts = Perimeter / Spacing
= 128 feet / 8 feet
= 16 posts
Therefore, Derek will need a total of 16 fence posts for the three sides of the garden.