the perimeter of a square garden is to be at least 30 feet but not more than 64 feet.find all the possible values for the length of its sides.
P = 4S
30/4 = 7.5
8 feet must be the smallest
64/4 = 16
The largest must be 16 feet.
s = side of square
P = 4s
30 <= 4s <= 64
30/4 <= s <= 16
15/2 <= s < 16
what is the equation for mouth this?
To find the possible values for the length of the sides of the square garden, we need to consider the given information about the perimeter.
Let's assume the length of one side of the square garden is "x" feet.
The perimeter of a square is calculated by adding the lengths of all four sides. Since all sides of a square are equal, the perimeter can be expressed as:
Perimeter = 4 * x
According to the information given, the perimeter needs to be at least 30 feet but not more than 64 feet. So, we can set up the following inequality:
30 ≤ 4 * x ≤ 64
Now we can solve this inequality step by step:
1. Divide all terms by 4 to isolate "x":
30/4 ≤ x ≤ 64/4
2. Simplify:
7.5 ≤ x ≤ 16
Therefore, the possible values for the length of the sides of the square garden are between 7.5 feet and 16 feet, inclusive.