Question

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

Answer 1

We know that the perimeter is the all the sides added up together. Generally, you have $p = 2l+2w$, where l is length and w is width.

For a square, all sides are of the same length, so you can write $p=4x$, where x is any side.

If the smallest perimeter is 14, then $14 = 4x$, so x is 3.5. If the largest perimeter is 72, then $72 = 4x$, so x is 18.

Therefore, you have 3.5 ≤ x ≤ 18.