One side of a square flower bed is 16
feet long. How many plants are needed if they are to be spaced 16
inches apart around the outside of the bed?
First, we need to find the perimeter of the square flower bed. The perimeter is the total distance around the outside of the square.
Since one side of the square is 16 feet long, then all four sides are also 16 feet long.
Perimeter = 4 x side length
Perimeter = 4 x 16 feet
Perimeter = 64 feet
Next, we need to convert the spacing between the plants from inches to feet, so that we're using the same units for both measurements.
16 inches = 1.33 feet (rounded to two decimal places)
We want to space the plants 1.33 feet apart around the outside of the flower bed. So, we need to divide the perimeter by the spacing to find out how many plants we need.
Number of plants = Perimeter / Spacing
Number of plants = 64 feet / 1.33 feet
Number of plants = 48.12 (rounded up to the nearest whole number)
Therefore, we need approximately 48 plants spaced 16 inches apart around the outside of the square flower bed.
The first step is to calculate the perimeter of the square flower bed. Since all four sides of a square are equal, the perimeter is found by multiplying the length of one side by 4:
Perimeter = 4 * Length of one side
In this case, the length of one side is given as 16 feet, so the perimeter becomes:
Perimeter = 4 * 16 = 64 feet
The next step is to convert the spacing between plants from inches to feet. Since there are 12 inches in a foot, we can divide the spacing of 16 inches by 12 to get the spacing in feet:
Spacing in feet = 16 inches / 12 = 1.33 feet (rounded to two decimal places)
Finally, to determine the number of plants needed, we divide the perimeter of the flower bed by the spacing between plants:
Number of plants = Perimeter / Spacing
Number of plants = 64 feet / 1.33 feet = 48.12 plants
Since you cannot have a fraction of a plant, we can round up to the nearest whole number. Therefore, you would need approximately 49 plants to be spaced 16 inches apart around the outside of the bed.