The perimeter of a square is to be between 14 and 72 feet, inclusively. find all possible values for the length of its sides. (< = : less than or equal to) a) 3.5 < = x < = 18 b) 10 < = x < = 68 c) 7 < x < 36 d) 7 < = x and x < = 36

We know that the perimeter is the all the sides added up together. Generally, you have , where l is length and w is width.

For a square, all sides are of the same length, so you can write , where x is any side.

If the smallest perimeter is 14, then , so x is 3.5. If the largest perimeter is 72, then , so x is 18.

Therefore, you have 3.5 ≤ x ≤ 18.