Jim is putting up fence posts around a rectangular garden. He used 50 posts and placed them 2 feet apart. The length of the garden is 30 feet. What is the perimeter of the garden? What is the area of the garden?
thanks
P = 2l + 2w
P = 2(30) + 2(20)
P = 60+ 40 = 100 ft
A = l * w
A = (30) (20) = 600 ft^2
To find the perimeter of the garden, we can add up the lengths of all four sides.
Since the length of the garden is given as 30 feet, and the fence posts are placed 2 feet apart, there are 30/2 = 15 fence posts on each long side of the garden.
Since there are two long sides, the total number of fence posts on the long sides is 15 + 15 = 30.
The perimeter of the long sides is then equal to 30 * 2 = 60 feet.
We can also consider the width of the garden. Since there are fence posts placed 2 feet apart, the width will have (15 - 1) = 14 fence posts.
Since there are two short sides, the total number of fence posts on the short sides is 14 + 14 = 28.
The perimeter of the short sides is then equal to 28 * 2 = 56 feet.
Therefore, the perimeter of the garden is 60 + 56 = 116 feet.
To find the area of the garden, we can multiply the length and width of the garden.
The length of the garden is given as 30 feet, and the width (which is the number of fence posts minus 1) is 14.
Therefore, the area of the garden is 30 * 14 = 420 square feet.
To find the perimeter of the garden, you can count the number of fence posts used and multiply it by the distance between each post. Since Jim used 50 posts and placed them 2 feet apart, we can calculate the total length of the fence by multiplying the number of gaps between the posts (one less than the number of posts) by 2.
Number of gaps = 50 posts - 1
Length of fence = Number of gaps x 2 feet
Number of gaps = 50 - 1 = 49
Length of fence = 49 x 2 = 98 feet
Since the length of the garden is given as 30 feet, the perimeter of the garden is equal to the length of the fence surrounding it. Therefore, the perimeter of the garden is 98 feet.
To find the area of the rectangular garden, you need to multiply its length by its width. In this case, only the length of the garden is given (30 feet). Therefore, to find the width, we need some additional information.
If we assume the garden to be a square, then the width would also be 30 feet. In this case, the area of the garden would be:
Area = Length x Width = 30 feet x 30 feet = 900 square feet.
However, if we don't have any information about the width, we cannot determine the exact area of the garden.