Bill plans to put a fence around a square plot of ground for a garden.
a. if he wants to put 15 post on each side of the square, how many post will he need for his fence? 58 is this correct
b. If he plans to space the posts evenly one yard apart on each side, how many square fee will his garden contain?
no, 56. Each side has 14 posts; the next 15th post is the corner of the next side. Draw a figure using a smaller number to check it out.
what's 14*14? Times 9?
What is the answer
a. To determine the number of posts needed for the fence, we can start by finding the perimeter of the square plot. Since a square has all sides equal, we can multiply the number of posts on one side by the number of sides (4). In this case, Bill plans to put 15 posts on each side, so the total number of posts needed will be 15 x 4 = 60 posts.
So, the correct answer to question a. is 60, not 58.
b. To find the number of square feet the garden will contain, we need to know the length of each side of the square plot. Since Bill plans to space the posts evenly one yard apart on each side, the length of each side will be the number of posts minus 1 (since each gap between posts is 1 yard long).
In this case, the number of posts on each side is 15, so the length of each side will be 15 - 1 = 14 yards.
To convert the length from yards to feet, we multiply it by 3, since there are 3 feet in 1 yard. Therefore, the length of each side in feet will be 14 x 3 = 42 feet.
Since a square has all sides equal, the garden will have an area given by the formula side length squared. Therefore, the area of the garden will be 42^2 = 1764 square feet.
So, the correct answer to question b. is 1764 square feet.