It is known that 15.6≤P≤15.8. Find the possible values of the side of a square if P is the perimeter of the square.

Step-by-step explanation:

c - side of the square

Formula: P = 4c.

By substituting:

15.6 ≤ 4c ≤ 15.8

By dividing 4:

3.9 ≤ c ≤ 3.95.

So the possible values of the side of square is from 3.9 to 3.95.

15.6 ≤ P ≤ 15.8

The perimeter of a square is found by multiplying the length of one side by 4, so P can be rewritten as 4s (4 times side length).

Now the equation becomes:

15.6 ≤ 4s ≤ 15.8

Now we can solve for the values of S by dividing all terms by 4:

15.6 / 4 ≤ 4s / 4 ≤ 15.8 / 4

Simplify:

3.9 ≤ s ≤ 3.95

The side lengths are between 3.9 and 3.95