The table shows the lengths of picket fence pieces Jude has to make a flower garden.
He wants the garden to have 4 sides and a perimeter of 30 feet.
He cannot cut the pieces into smaller length
Length of each picket fence piece:
x (feet)
Number of sides in the garden:
4
Perimeter of the garden:
30 feet
Given that he cannot cut the pieces into smaller length, it means each piece will be of the same length.
Since there are 4 sides in the garden, we can represent the perimeter using the length of each picket fence piece as follows:
Perimeter = Sum of lengths of all sides
30 feet = x + x + x + x
30 feet = 4x
To find the length of each picket fence piece, we solve the equation for x:
4x = 30 feet
x = 30 feet / 4
x = 7.5 feet
Therefore, each picket fence piece should have a length of 7.5 feet in order to make a flower garden with 4 sides and a perimeter of 30 feet.