The perimeter of a square must be greater than 90 inches but

The perimeter of a square must be greater than 90 inches but less than 100 inches. Find the range of possible side lengths that satisfy these conditions. (Hint: The perimeter of a square is given by P = 4s, where s represents the length of a side). Express your answer in interval notation. Use decimal form for numerical values.

Solution

92 and 96 are the only number between 90 and 100 which is divisible by 4

So, 92 = 4 * 23

and 96 = 4 * 24

So, the range of possible side lengths is 23 and 24